Atkin-Lehner |
2- 3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22620b |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
6651637200 = 24 · 32 · 52 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164765,-25687350] |
[a1,a2,a3,a4,a6] |
j |
30917278167256662016/415727325 |
j-invariant |
L |
1.8957151536758 |
L(r)(E,1)/r! |
Ω |
0.23696439420948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bx1 67860e1 113100p1 |
Quadratic twists by: -4 -3 5 |