Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bn |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
5631260107436964 = 22 · 38 · 7 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16556614,25923273311] |
[a1,a2,a3,a4,a6] |
j |
212864931179770787/2388204 |
j-invariant |
L |
0.60067271513466 |
L(r)(E,1)/r! |
Ω |
0.30033635803812 |
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 |
66066n1 |
Quadratic twists by: -11 |