Basic properties
Space: | $M_{20}\left({\textrm{Sp}}(4,\mathbb{Z})\right)$ |
Type: | interesting cusp form |
Weight: | 20 |
Hecke eigenform: | yes |
Integral Fourier coefficients: | yes |
Coefficient field
Field: | \(\Q\) |
Degree: | 1 |
Field generator: | $a$ |
Explicit formula
$-A*B*C - A^2*D + 1785600*C^2$Selected eigenvalues $\lambda(l)$ of $T(l)$
$l$ | $\lambda(l)$ |
---|---|
$2$ | $-840960$ |
$3$ | $346935960$ |
$4$ | $248256200704$ |
$5$ | $-5232247240500$ |
Selected Fourier coefficients $c(F)$
\(\det(F)\) | \(F\) | $c(F)$ |
---|---|---|
3 | (1, 1, 1) | $-2$ |
Select different $\lambda(l)$ and $c(F)$ to display or specify a modulus $\mathfrak{m}$ to reduce them by
$\lambda(l)$ available for $l$ in: | 2 3 4 5 |
$c(F)$ available for $\det(F)$ in: | 3 4 7 8 11 12 15 16 19 20 ... 83 84 87 88 91 92 95 96 99 100 |
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