Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288bj |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
836675201232 = 24 · 314 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32556,-2260541] |
[a1,a2,a3,a4,a6] |
j |
327166871093248/71731413 |
j-invariant |
L |
0.71084924015838 |
L(r)(E,1)/r! |
Ω |
0.35542462073724 |
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 |
13572b1 18096bb1 |
Quadratic twists by: -4 -3 |