-1,2

j_2 is an analytic isomorphism H/\Gamma_0(2) ->\hat{C}. It generates the field of modular functions for \Gamma_0(2).

J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339.

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).

G. Hoehn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.

J. McKay and H. Strauss, The q-series of monstrous moonshine and the decomposition of the head characters. Comm. Algebra 18 (1990), no. 1, 253-278.

T. D. Noe, Table of n, a(n) for n=-1..1000

R. E. Borcherds, Introduction to the monster Lie algebra, pp. 99-107 of M. Liebeck and J. Saxl, editors, Groups, Combinatorics and Geometry (Durham, 1990). London Math. Soc. Lect. Notes 165, Cambridge Univ. Press, 1992.

B. Brent, Quadratic Minima and Modular Forms, Experimental Mathematics, v.7 no.3, 257-274.

G. Hoehn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).

j_2=E_{\gamma, 2}^2/E_{\infty, 4}.

j_2 = 1/q + 40 + 276q+...

Apart from constant term, same as A007191, A007246 and A045479.

Sequence in context: A068790 A073962 A115170 this_sequence A065255 A061993 A087954

Adjacent sequences: A035096 A035097 A035098 this_sequence A035100 A035101 A035102

easy,sign,nice

Barry Brent (barryb(AT)primenet.com)