Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528c |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
56501638144 = 210 · 77 · 67 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 2 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22360,-1294364] |
[a1,a2,a3,a4,a6] |
j |
10262905636/469 |
j-invariant |
L |
3.1233536703107 |
L(r)(E,1)/r! |
Ω |
0.39041920893165 |
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 |
26264u1 7504d1 |
Quadratic twists by: -4 -7 |