Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624ce |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
15710901000912 = 24 · 312 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6803,-103674] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:261:1] |
Generators of the group modulo torsion |
j |
990692608000/446941881 |
j-invariant |
L |
9.0457256657887 |
L(r)(E,1)/r! |
Ω |
0.54841464673334 |
Real period |
R |
0.68726325184155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117624ba1 |
Quadratic twists by: 13 |