Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330b |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
7938408922762500 = 22 · 33 · 55 · 77 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50430,802976] |
[a1,a2,a3,a4,a6] |
j |
4465226119563/2499087500 |
j-invariant |
L |
1.4369100955812 |
L(r)(E,1)/r! |
Ω |
0.35922752353412 |
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 |
57330dg1 8190d1 |
Quadratic twists by: -3 -7 |