Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975cb |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-3246326711138671875 = -1 · 38 · 59 · 117 · 13 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 11- 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6038908,-5714638781] |
[a1,a2,a3,a4,a6] |
j |
-879878867636224/117277875 |
j-invariant |
L |
6.1636281127204 |
L(r)(E,1)/r! |
Ω |
0.04815334674643 |
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 |
23595b1 10725j1 |
Quadratic twists by: 5 -11 |