Atkin-Lehner |
5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34075c |
Isogeny class |
Conductor |
34075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
3088046875 = 57 · 292 · 47 |
Discriminant |
Eigenvalues |
1 -1 5+ -5 5 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8250,-291875] |
[a1,a2,a3,a4,a6] |
j |
3975097468321/197635 |
j-invariant |
L |
2.0037359967134 |
L(r)(E,1)/r! |
Ω |
0.50093399918489 |
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 |
6815c1 |
Quadratic twists by: 5 |