Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692x |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
6189163344 = 24 · 36 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516,-2455] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:45:1] |
Generators of the group modulo torsion |
j |
1302642688/530621 |
j-invariant |
L |
5.0243728123378 |
L(r)(E,1)/r! |
Ω |
1.0380006509412 |
Real period |
R |
1.6134777333269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6188b1 |
Quadratic twists by: -3 |