Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gt |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
123836771721019392 = 220 · 310 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240051,-41983886] |
[a1,a2,a3,a4,a6] |
Generators |
[-17052:111965:64] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
5.7227219263939 |
L(r)(E,1)/r! |
Ω |
0.21679551515091 |
Real period |
R |
6.5992161594557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000102867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994bh1 39984df1 2448n1 |
Quadratic twists by: -4 -3 -7 |