Atkin-Lehner |
2- 7- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286q |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
-697226305933444 = -1 · 22 · 73 · 175 · 713 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -2 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20511,1692137] |
[a1,a2,a3,a4,a6] |
j |
-2782219686620023/2032729754908 |
j-invariant |
L |
5.6193327143747 |
L(r)(E,1)/r! |
Ω |
0.46827777105141 |
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 |
118286bf1 |
Quadratic twists by: -7 |