Atkin-Lehner |
2- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
97498l |
Isogeny class |
Conductor |
97498 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2892960 |
Modular degree for the optimal curve |
Δ |
3793925433663635456 = 214 · 29 · 418 |
Discriminant |
Eigenvalues |
2- 2 -1 5 2 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-472396,-82873235] |
[a1,a2,a3,a4,a6] |
j |
1460062849/475136 |
j-invariant |
L |
10.462142738098 |
L(r)(E,1)/r! |
Ω |
0.18682397221661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97498g1 |
Quadratic twists by: 41 |