Atkin-Lehner |
2+ 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334c |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-96629594362 = -1 · 2 · 78 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1125,4079] |
[a1,a2,a3,a4,a6] |
j |
544101734375/334358458 |
j-invariant |
L |
1.3165003938463 |
L(r)(E,1)/r! |
Ω |
0.65825019006245 |
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 |
117334k1 |
Quadratic twists by: 17 |