Atkin-Lehner |
2- 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298bc |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
2204312292 = 22 · 38 · 7 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761,-7563] |
[a1,a2,a3,a4,a6] |
j |
66775173193/3023748 |
j-invariant |
L |
1.8232382953478 |
L(r)(E,1)/r! |
Ω |
0.9116188567688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38766f1 |
Quadratic twists by: -3 |