Atkin-Lehner |
3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715j |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29089368 |
Modular degree for the optimal curve |
Δ |
-7.0794535017014E+23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 -5 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,21216924,14953029482] |
[a1,a2,a3,a4,a6] |
j |
3654879904473222179631104/2449637889862060546875 |
j-invariant |
L |
0.056801646577666 |
L(r)(E,1)/r! |
Ω |
0.056799431142699 |
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 |
125715be1 |
Quadratic twists by: 17 |