Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136u |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-15921152 = -1 · 212 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4,192] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] |
Generators of the group modulo torsion |
j |
-1728/3887 |
j-invariant |
L |
5.6115969667186 |
L(r)(E,1)/r! |
Ω |
1.7729706961406 |
Real period |
R |
1.5825408110055 |
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 |
19136q1 9568e1 |
Quadratic twists by: -4 8 |