Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738x |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
3268058354561024 = 212 · 29 · 317 |
Discriminant |
Eigenvalues |
2- 2 -3 2 0 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-208557,-36642973] |
[a1,a2,a3,a4,a6] |
j |
1130389181713/3682304 |
j-invariant |
L |
5.3627759427952 |
L(r)(E,1)/r! |
Ω |
0.2234489976879 |
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 |
1798b1 |
Quadratic twists by: -31 |