Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672a |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
6589553573888 = 230 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25964,1605552] |
[a1,a2,a3,a4,a6] |
Generators |
[56:572:1] |
Generators of the group modulo torsion |
j |
7384117376817/25137152 |
j-invariant |
L |
5.7285943080363 |
L(r)(E,1)/r! |
Ω |
0.75365212425794 |
Real period |
R |
3.8005560680114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672y1 646d1 |
Quadratic twists by: -4 8 |