Atkin-Lehner |
2- 3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614q |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
10073152535952 = 24 · 3 · 119 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5629,55265] |
[a1,a2,a3,a4,a6] |
j |
8365427/4272 |
j-invariant |
L |
5.1145150278014 |
L(r)(E,1)/r! |
Ω |
0.63931437862326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64614f1 |
Quadratic twists by: -11 |