Atkin-Lehner |
2- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
86768k |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
31421111197696 = 213 · 11 · 17 · 295 |
Discriminant |
Eigenvalues |
2- 1 3 4 11- 6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25344,1520948] |
[a1,a2,a3,a4,a6] |
j |
439548072327937/7671169726 |
j-invariant |
L |
6.5969296955519 |
L(r)(E,1)/r! |
Ω |
0.65969296756732 |
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 |
10846b1 |
Quadratic twists by: -4 |