Atkin-Lehner |
2+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
67850i |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1131264 |
Modular degree for the optimal curve |
Δ |
99343592831283200 = 212 · 52 · 23 · 596 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 3 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1166295,-485046955] |
[a1,a2,a3,a4,a6] |
Generators |
[47658:1445035:27] |
Generators of the group modulo torsion |
j |
7017937991728631127265/3973743713251328 |
j-invariant |
L |
7.8425398567007 |
L(r)(E,1)/r! |
Ω |
0.14528211799602 |
Real period |
R |
4.4984544353537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850bb1 |
Quadratic twists by: 5 |