Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880m |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2260992 |
Modular degree for the optimal curve |
Δ |
12361564160000 = 218 · 54 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62874188,-191891924112] |
[a1,a2,a3,a4,a6] |
j |
104857852278310619039721/47155625 |
j-invariant |
L |
0.10722879897634 |
L(r)(E,1)/r! |
Ω |
0.053614400888181 |
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 |
66880ce1 1045b1 |
Quadratic twists by: -4 8 |