Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920bh |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-325058560000 = -1 · 224 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4225,110625] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/1240000 |
j-invariant |
L |
3.8293205462313 |
L(r)(E,1)/r! |
Ω |
0.95733013655783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920j1 2480l1 89280em1 49600ci1 |
Quadratic twists by: -4 8 -3 5 |