Atkin-Lehner |
2+ 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520c |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
1738000 = 24 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-496,-4421] |
[a1,a2,a3,a4,a6] |
j |
845131051264/108625 |
j-invariant |
L |
1.011485219732 |
L(r)(E,1)/r! |
Ω |
1.01148522519 |
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 |
34760b1 |
Quadratic twists by: -4 |