Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792cl |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
326378953004676096 = 210 · 3 · 75 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173237,3894885] |
[a1,a2,a3,a4,a6] |
j |
561498015075008512/318729446293629 |
j-invariant |
L |
3.9316721548246 |
L(r)(E,1)/r! |
Ω |
0.26211147701335 |
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 |
57792be1 14448bc1 |
Quadratic twists by: -4 8 |