Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848ba |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
743885550144 = 26 · 38 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2541,26620] |
[a1,a2,a3,a4,a6] |
Generators |
[92:756:1] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
5.8326069037544 |
L(r)(E,1)/r! |
Ω |
0.81567224955078 |
Real period |
R |
3.57533734105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34848cg1 69696cl2 11616ba1 288b1 |
Quadratic twists by: -4 8 -3 -11 |