Atkin-Lehner |
2- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97006u |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
486559646483456 = 210 · 74 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7- 6 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-348397,78999331] |
[a1,a2,a3,a4,a6] |
j |
968917714969177/100803584 |
j-invariant |
L |
10.057213103913 |
L(r)(E,1)/r! |
Ω |
0.50286067002238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574b1 |
Quadratic twists by: 13 |