Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bo |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1.28891007135E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161838,174471531] |
[a1,a2,a3,a4,a6] |
Generators |
[-549:10185:1] |
Generators of the group modulo torsion |
j |
-30001665327550489/824902445664000 |
j-invariant |
L |
6.4610407821942 |
L(r)(E,1)/r! |
Ω |
0.18771969485703 |
Real period |
R |
2.1511597339368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001084 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17490g1 |
Quadratic twists by: 5 |