Atkin-Lehner |
2- 3+ 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790bo |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-8992670625000 = -1 · 23 · 39 · 57 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 1 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3157,126307] |
[a1,a2,a3,a4,a6] |
j |
176841881397/456875000 |
j-invariant |
L |
3.0706202277352 |
L(r)(E,1)/r! |
Ω |
0.51177003792408 |
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 |
65790g1 |
Quadratic twists by: -3 |