Atkin-Lehner |
3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725o |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
32725265625 = 36 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 6 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13392,-593109] |
[a1,a2,a3,a4,a6] |
j |
23320116793/2873 |
j-invariant |
L |
3.5504211492736 |
L(r)(E,1)/r! |
Ω |
0.44380264364543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5525e1 1989c1 |
Quadratic twists by: -3 5 |