Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91960x |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1279067042000 = 24 · 53 · 116 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4275,-94250] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:95:1] [-37:121:1] |
Generators of the group modulo torsion |
j |
304900096/45125 |
j-invariant |
L |
8.6185377333297 |
L(r)(E,1)/r! |
Ω |
0.59626070708388 |
Real period |
R |
1.2045259217425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
760d1 |
Quadratic twists by: -11 |