Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117x |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4472832 |
Modular degree for the optimal curve |
Δ |
5387078598494149557 = 36 · 77 · 11 · 138 |
Discriminant |
Eigenvalues |
-2 3- -4 7+ 11+ 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-573417,-124347454] |
[a1,a2,a3,a4,a6] |
j |
35063967744/9058973 |
j-invariant |
L |
0.35361801478967 |
L(r)(E,1)/r! |
Ω |
0.17680859597109 |
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 |
13013d1 117117bw1 |
Quadratic twists by: -3 13 |