Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080co |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
20882706457600 = 210 · 52 · 138 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 3 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8788,-228488] |
[a1,a2,a3,a4,a6] |
j |
89856/25 |
j-invariant |
L |
1.0069003211734 |
L(r)(E,1)/r! |
Ω |
0.50345016061783 |
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 |
54080w1 13520bf1 54080dh1 |
Quadratic twists by: -4 8 13 |