Atkin-Lehner |
2+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
117242b |
Isogeny class |
Conductor |
117242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-774360242277582484 = -1 · 22 · 318 · 613 |
Discriminant |
Eigenvalues |
2+ 2 3 -1 3 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-952851,-360894223] |
[a1,a2,a3,a4,a6] |
j |
-107802602036857/872514964 |
j-invariant |
L |
5.4983932407562 |
L(r)(E,1)/r! |
Ω |
0.076366594160354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3782b1 |
Quadratic twists by: -31 |