Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bo |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-135566662500 = -1 · 22 · 39 · 55 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 4 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1282,-1519] |
[a1,a2,a3,a4,a6] |
j |
319873167719/185962500 |
j-invariant |
L |
2.455752166789 |
L(r)(E,1)/r! |
Ω |
0.61393804169335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530p1 |
Quadratic twists by: -3 |