Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080h |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4787328 |
Modular degree for the optimal curve |
Δ |
-3.0969724275E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106786856,424714460400] |
[a1,a2,a3,a4,a6] |
j |
-65757783306562375212200018/1512193568115234375 |
j-invariant |
L |
1.8404870110754 |
L(r)(E,1)/r! |
Ω |
0.13146335793387 |
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 |
62160f1 93240bv1 |
Quadratic twists by: -4 -3 |