Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330fe |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
114729340061700 = 22 · 37 · 52 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60647,5740571] |
[a1,a2,a3,a4,a6] |
j |
838561807/3900 |
j-invariant |
L |
4.7560983577281 |
L(r)(E,1)/r! |
Ω |
0.59451229483512 |
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 |
19110z1 57330dt1 |
Quadratic twists by: -3 -7 |