Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bx |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
96484332978515625 = 3 · 510 · 117 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-219668001,1253117990023] |
[a1,a2,a3,a4,a6] |
j |
42349468688699229721/3485625 |
j-invariant |
L |
6.7694830180179 |
L(r)(E,1)/r! |
Ω |
0.18804121178697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595f1 10725i1 |
Quadratic twists by: 5 -11 |