Atkin-Lehner |
2- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024v |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
209849679872 = 218 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-266880,52977844] |
[a1,a2,a3,a4,a6] |
Generators |
[300:-62:1] [316:546:1] |
Generators of the group modulo torsion |
j |
513231706377774721/51232832 |
j-invariant |
L |
5.2359605403685 |
L(r)(E,1)/r! |
Ω |
0.76982047986543 |
Real period |
R |
1.7003836210218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378k1 |
Quadratic twists by: -4 |