Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cg |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
4941349650432 = 218 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-310476,66587024] |
[a1,a2,a3,a4,a6] |
Generators |
[34:7488:1] |
Generators of the group modulo torsion |
j |
17319700013617/25857 |
j-invariant |
L |
3.9023669522485 |
L(r)(E,1)/r! |
Ω |
0.65416973260415 |
Real period |
R |
1.4913434593611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998568146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296h1 31824bk1 42432bl1 |
Quadratic twists by: -4 8 -3 |