Atkin-Lehner |
3- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89889d |
Isogeny class |
Conductor |
89889 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3717120 |
Modular degree for the optimal curve |
Δ |
-1.3345261889892E+19 |
Discriminant |
Eigenvalues |
0 3- -3 3 -1 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10310907,12741413402] |
[a1,a2,a3,a4,a6] |
Generators |
[1896:3361:1] [6:112603:1] |
Generators of the group modulo torsion |
j |
-17674761432385744371712/1945657076817609 |
j-invariant |
L |
9.8598678545452 |
L(r)(E,1)/r! |
Ω |
0.21483887010482 |
Real period |
R |
0.47806505763879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89889a1 |
Quadratic twists by: -19 |