Agreed, 15 amps.
The formula to find out is:
Your maximum wattage ÷ (your mod's low-voltage cutoff * your mod's efficiency) = amps needed
It can be difficult to find out the exact figures for a given mod, so we often use numbers that are on the low end of average: 3.2 v for the cutoff and 0.9 for the efficiency. You'll notice that 3.2 * 0.9 is 2.88, or very close to 3, so we often just use 3 for a rough estimate:
Amps used = your max wattage ÷ 3
= 40 ÷ 3
= 13.3 A
I don't know of any
batteries with CDRs between 10 A and 15 A, so that means you'll need at least a 15A battery.
I don't know how much you know about the reliability of battery manufacturers, vendors and battery-wrap ratings, but I strongly recommend picking a battery from
this chart and buying it from one of the vendors in the blue cell of the chart.
This blog explains why, and, as always, we'll be happy to answer any questions you have.