Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cx |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
25902917058844224 = 26 · 34 · 712 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1916014,-1021422424] |
[a1,a2,a3,a4,a6] |
Generators |
[-802:120:1] |
Generators of the group modulo torsion |
j |
103312235477340352/3440174409 |
j-invariant |
L |
7.5844069861551 |
L(r)(E,1)/r! |
Ω |
0.12832188599577 |
Real period |
R |
3.6940342107425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999981378 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89376bm1 12768n1 |
Quadratic twists by: -4 -7 |