Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88088bd |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
16918670818137088 = 210 · 72 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122008,15121984] |
[a1,a2,a3,a4,a6] |
j |
7562500/637 |
j-invariant |
L |
1.523056866509 |
L(r)(E,1)/r! |
Ω |
0.38076422572144 |
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 |
88088f1 |
Quadratic twists by: -11 |