Just to note, W first is the better way to build her. Q first if it's an unsafe lane that you can't go in on. Though it does play a lot differently and requires more practice, especially if you're used to playing by just throwing Qs from the back.
The damage is the same (200), though the AP ratio is a lot worse (25%) so that does skew the numbers a bit.
Hehe, we can agree to disagree on W first. I'll always Q first. W may have a lower cooldown but you have to be up close and personal for that. Q is a great harass tool and with W proc'ing the mark, you can still farm effectively. Q is more damage the first 4 levels as well. I just don't like getting in melee range to harass. The trade usually isn't favorable.