Atkin-Lehner |
2- 3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41412f |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
49968576 |
Modular degree for the optimal curve |
Δ |
1.6415584345942E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19797254610,1072143441370509] |
[a1,a2,a3,a4,a6] |
j |
53631338388425493377929891324208896/10259740216213857342057 |
j-invariant |
L |
0.41525094770418 |
L(r)(E,1)/r! |
Ω |
0.059321563977058 |
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 |
124236n1 |
Quadratic twists by: -3 |