Atkin-Lehner |
2+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24992a |
Isogeny class |
Conductor |
24992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
4398592 = 29 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 1 -2 -1 11- -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6864,-221188] |
[a1,a2,a3,a4,a6] |
j |
69863259742856/8591 |
j-invariant |
L |
1.049010806992 |
L(r)(E,1)/r! |
Ω |
0.52450540349603 |
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 |
24992b1 49984c1 |
Quadratic twists by: -4 8 |