Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450x |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
767232 |
Modular degree for the optimal curve |
Δ |
548824914675156250 = 2 · 57 · 378 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-342963,68457031] |
[a1,a2,a3,a4,a6] |
j |
81289/10 |
j-invariant |
L |
1.1272447408659 |
L(r)(E,1)/r! |
Ω |
0.28181118590732 |
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 |
13690a1 68450c1 |
Quadratic twists by: 5 37 |