Light is one way that the electromagnetic field can behave. Static electric and magnetic fields are more examples of the electromagnetic field. The electromagnetic field is a complicated beast and to describe it properly requires a grasp of special relativity and vector calculus. Classically we use Maxwell's equations, and in quantum mechanics we use a theory called quantum electrodynamics.
Light is, speaking loosely, an oscillation in the electromagnetic field that travels through space much as a water wave travels across a water surface, and when we talk about the amplitude of the light we mean the amplitude of this wave. However the electromagnetic field is quantised, and one result of this is that an electromagnetic wave can't just have any amplitude. The energy of the light wave of frequency $\nu$ has to be multiples of $h\nu$ i.e. multiples of the photon energy.
Imagine we start with a wave of zero amplitude and we want to build it up by adding energy to it. The minimum amount of energy we can add is $h\nu$, and that gives us a light wave corresponding to a single photon. Add another $h\nu$ and we get a light wave corresponding to two photons, and so on. Since the energy of a single photon is so small the sort of light we see in everyday life corresponds to huge numbers of photons. For example sunlight has an energy of around $0.$ to $1$ kilowatt per square metre depending on where in the world you are, and if we take an average wavelength of around $500$nm that's of the order of $10^{21}$ photons per square metre per second.
So the answer to your question is that a light wave is a state built up from many ($10^{21}$ !!) photon states, and the state that we call a light wave has an amplitude that is a separate concept to the photon energy.
But be cautious about imagining a light wave as a hail of photons. A light wave is a state of the quantised electromagnetic field that can be expressed (approximately) as a combination of many photon states but it isn't simply a collection of photons. It is simpler to regard the photon as the unit of energy exchange. Whenever the electromagnetic wave exchanges energy with anything else it does so in multiples of $h\nu$ i.e. in integral numbers of photons.
If you're interested I discuss photons in more detail in my answer to Do photons truly exist in a physical sense or are they just a useful concept like $i = \sqrt{-1}$?