Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116058q |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3897600 |
Modular degree for the optimal curve |
Δ |
-8472405364243109904 = -1 · 24 · 3 · 233 · 299 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 3 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7733854,8278856480] |
[a1,a2,a3,a4,a6] |
j |
-3526383638861/584016 |
j-invariant |
L |
2.6996299828688 |
L(r)(E,1)/r! |
Ω |
0.22496924420011 |
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 |
116058ba1 |
Quadratic twists by: 29 |