Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624v |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-256405264128 = -1 · 28 · 35 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 3 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-375964,88604192] |
[a1,a2,a3,a4,a6] |
Generators |
[359:174:1] |
Generators of the group modulo torsion |
j |
-135842911761248848/5926527 |
j-invariant |
L |
9.2603366477685 |
L(r)(E,1)/r! |
Ω |
0.73201232141736 |
Real period |
R |
0.42168400576856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624bz1 |
Quadratic twists by: 13 |