Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104bb |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
17391168553984 = 210 · 198 |
Discriminant |
Eigenvalues |
2- 1 -3 0 -4 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-612737,-184816009] |
[a1,a2,a3,a4,a6] |
j |
1462911232 |
j-invariant |
L |
0.51192017033624 |
L(r)(E,1)/r! |
Ω |
0.17064005677876 |
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 |
23104d1 5776a1 23104bw1 |
Quadratic twists by: -4 8 -19 |