At 35W at low charge that is ~6A draw
Amps are going to change a little depending on the Coil... the most I have ever seen my box pushing over any of the builds I have done so far is about 5.5A.... I will admit that I can't swear I did not swap out the batteries before they were low. I normally drop a new set in when I go home for the night... so on average... I run 4 batteries a day.... (two at work, and two at home)
right now I am at 3.7A (6.8V) w/25.5Watts on a 1.78 ohm Kanthal coil...