Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360n |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
2593910376770560 = 210 · 5 · 477 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -3 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36080,988732] |
[a1,a2,a3,a4,a6] |
j |
470596/235 |
j-invariant |
L |
1.6159149511817 |
L(r)(E,1)/r! |
Ω |
0.40397873080787 |
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 |
1880c1 |
Quadratic twists by: -47 |