Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264x |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
1020282740928 = 26 · 33 · 112 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5092,129458] |
[a1,a2,a3,a4,a6] |
j |
228188739771712/15941917827 |
j-invariant |
L |
5.1574539959475 |
L(r)(E,1)/r! |
Ω |
0.85957566855661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264b1 49632e3 |
Quadratic twists by: -4 8 |