Atkin-Lehner |
5+ 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725i |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
133053961181640625 = 514 · 72 · 232 · 292 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-164542,-18720009] |
[a1,a2,a3,a4,a6] |
j |
31530836043974961/8515453515625 |
j-invariant |
L |
1.9347003973467 |
L(r)(E,1)/r! |
Ω |
0.24183749538166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23345e2 |
Quadratic twists by: 5 |