Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104br |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
369664 = 210 · 192 |
Discriminant |
Eigenvalues |
2- 1 1 0 -4 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1:1] |
Generators of the group modulo torsion |
j |
4864 |
j-invariant |
L |
6.0935115693071 |
L(r)(E,1)/r! |
Ω |
2.8556725734226 |
Real period |
R |
2.1338271152018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104q1 5776n1 23104bd1 |
Quadratic twists by: -4 8 -19 |