Atkin-Lehner |
2- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57536x |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
965293899776 = 230 · 29 · 31 |
Discriminant |
Eigenvalues |
2- -2 3 -2 0 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13889,-632897] |
[a1,a2,a3,a4,a6] |
Generators |
[-8205:2048:125] |
Generators of the group modulo torsion |
j |
1130389181713/3682304 |
j-invariant |
L |
4.5744739434712 |
L(r)(E,1)/r! |
Ω |
0.43985979180865 |
Real period |
R |
2.5999614129814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536o1 14384d1 |
Quadratic twists by: -4 8 |