Ideally you would want to acquire a battery graphing device and or software for it. The device will plot discharge curves under various loads for you. There is no way to take a single reading for max amperage other than the manufacturers specification.
Plotting
batteries discharges the battery under set continuous loads (some devices also offer a pulse discharge option) while reading the voltage of the battery as well as its temperature. From the discharge graph and temperatures you can *guess* (with experience) what the max of a battery is.
Keep in mind that testing
batteries at high currents is a
safety hazard. Venting batteries are no fun. Fireproof surface + some kind walls around the testing area (the pressure from a venting batter can get quite violent and move the battery around like a small rocket, even if it doesn't burst) are a must. It's not something you want to be doing in your living room.
A rudimentary testing rig can also be DIYed with a bunch of auto light bulbs, soldering skills, a multimeter, a temp sensor, pen, paper and a stopwatch and taking readings yourself.
Personally I'd recommend one of the various testing sites on the web. They do all the work for you. For example
www.dampfakkus.de