Atkin-Lehner |
2+ 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15370b |
Isogeny class |
Conductor |
15370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
6833443962880 = 224 · 5 · 29 · 532 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7120,195840] |
[a1,a2,a3,a4,a6] |
Generators |
[7:379:1] |
Generators of the group modulo torsion |
j |
39920686684059609/6833443962880 |
j-invariant |
L |
3.1478853527413 |
L(r)(E,1)/r! |
Ω |
0.71371487317862 |
Real period |
R |
4.4105643178232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122960i1 76850g1 |
Quadratic twists by: -4 5 |