Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400ci |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1226178000 = 24 · 36 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12630,-546325] |
[a1,a2,a3,a4,a6] |
j |
152818608128/841 |
j-invariant |
L |
3.6027890052664 |
L(r)(E,1)/r! |
Ω |
0.45034864505881 |
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 |
52200cl1 11600i1 104400cf1 |
Quadratic twists by: -4 -3 5 |