Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008g |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2576950848 = 26 · 38 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148722,-22125168] |
[a1,a2,a3,a4,a6] |
Generators |
[1677:66690:1] |
Generators of the group modulo torsion |
j |
5684238735112925632/40264857 |
j-invariant |
L |
7.8135728585207 |
L(r)(E,1)/r! |
Ω |
0.24311150240266 |
Real period |
R |
4.0174841488881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008m1 62016c2 93024bl1 |
Quadratic twists by: -4 8 -3 |