Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624by |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-550052994017958912 = -1 · 210 · 33 · 138 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -5 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43208,-35500672] |
[a1,a2,a3,a4,a6] |
j |
10679708/658503 |
j-invariant |
L |
2.5081255165763 |
L(r)(E,1)/r! |
Ω |
0.13934033870565 |
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 |
117624u1 |
Quadratic twists by: 13 |