Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104t |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-14645194571776 = -1 · 214 · 197 |
Discriminant |
Eigenvalues |
2+ -2 1 -3 3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1925,-187613] |
[a1,a2,a3,a4,a6] |
j |
-1024/19 |
j-invariant |
L |
0.60466880918782 |
L(r)(E,1)/r! |
Ω |
0.3023344045939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104by1 2888f1 1216g1 |
Quadratic twists by: -4 8 -19 |