Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104bz |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-57207791296 = -1 · 26 · 197 |
Discriminant |
Eigenvalues |
2- 2 -3 1 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,963,-829] |
[a1,a2,a3,a4,a6] |
Generators |
[86:843:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
6.1306567698409 |
L(r)(E,1)/r! |
Ω |
0.66174646908858 |
Real period |
R |
4.6321794344325 |
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 |
23104u1 5776q1 1216q1 |
Quadratic twists by: -4 8 -19 |