Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066d |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
-8.4137107766024E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3356780,3725994496] |
[a1,a2,a3,a4,a6] |
j |
2361217731530033375/4749320388404592 |
j-invariant |
L |
0.72286708765633 |
L(r)(E,1)/r! |
Ω |
0.090358384706626 |
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 |
6006y1 |
Quadratic twists by: -11 |