Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cj |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
103229235040932 = 22 · 33 · 73 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-304378,-64658560] |
[a1,a2,a3,a4,a6] |
j |
1760384222493625/58270212 |
j-invariant |
L |
4.8781857991951 |
L(r)(E,1)/r! |
Ω |
0.20325774123248 |
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 |
6006p1 |
Quadratic twists by: -11 |