Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860o |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
12862184400 = 24 · 38 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-587] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:50:1] |
Generators of the group modulo torsion |
j |
1927561216/1102725 |
j-invariant |
L |
5.603506721587 |
L(r)(E,1)/r! |
Ω |
1.0507106736389 |
Real period |
R |
2.6665317397998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620l1 |
Quadratic twists by: -3 |