Atkin-Lehner |
2- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936v |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
39918589985161216 = 232 · 76 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -2 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329296,72204224] |
[a1,a2,a3,a4,a6] |
j |
8194759433281/82837504 |
j-invariant |
L |
0.72964266978464 |
L(r)(E,1)/r! |
Ω |
0.36482133445664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742l1 1264e1 |
Quadratic twists by: -4 -7 |