Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113100p |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
103931831250000 = 24 · 32 · 58 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4119133,-3219157012] |
[a1,a2,a3,a4,a6] |
Generators |
[4453:258375:1] |
Generators of the group modulo torsion |
j |
30917278167256662016/415727325 |
j-invariant |
L |
9.2581655502247 |
L(r)(E,1)/r! |
Ω |
0.10597369873989 |
Real period |
R |
4.8534922886189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620b1 |
Quadratic twists by: 5 |