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Jan 14, 2012 at 7:46 vote accept BrettW
Jan 13, 2012 at 3:34 comment added S. Carnahan Moonshine will at some point require consideration of level greater than one, and poles at cusps. Also, it might be worth pointing out that the $\omega$ you use is not the usual sheaf of differentials.
Jan 12, 2012 at 20:07 comment added Thomas Nikolaus A treatment can be given using the Tate Curve, which you propably know. That is an elliptic curve $y^2 + + xy = x^3 + a_4 x + a_6$ over the ring $\mathbb{Z}[[q]]$ with coefficients $a_6, a_6$ multiples of the Eisensteinseries $E_4$ and $E_6$. It carries a canonical nowhere vanishing differential (as every affine elliptic curve) so you can evaluated a modular form on it and obtain an element in $\mathbb{Z}[[q]]$.
Jan 12, 2012 at 15:10 history answered Neil Strickland CC BY-SA 3.0