Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bz |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-5.5886856625901E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-736268,-1163102192] |
[a1,a2,a3,a4,a6] |
j |
-168380411424176601/2131914391552000 |
j-invariant |
L |
0.13991794279771 |
L(r)(E,1)/r! |
Ω |
0.069958967874454 |
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 |
66880p1 16720bj1 |
Quadratic twists by: -4 8 |