Atkin-Lehner |
2- 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624bk |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
-155993451635146752 = -1 · 230 · 39 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-265395,55950194] |
[a1,a2,a3,a4,a6] |
j |
-692332063944625/52241891328 |
j-invariant |
L |
2.5454188108893 |
L(r)(E,1)/r! |
Ω |
0.31817738692916 |
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 |
12078m1 32208l1 |
Quadratic twists by: -4 -3 |