Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376be |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
55408489131933696 = 222 · 3 · 114 · 673 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280112,-56020140] |
[a1,a2,a3,a4,a6] |
Generators |
[-7323:7370:27] |
Generators of the group modulo torsion |
j |
593417647832152753/13527463166976 |
j-invariant |
L |
7.7640485215921 |
L(r)(E,1)/r! |
Ω |
0.207811351105 |
Real period |
R |
3.1134201285237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422j1 106128bj1 |
Quadratic twists by: -4 -3 |