Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104bd |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
17391168553984 = 210 · 198 |
Discriminant |
Eigenvalues |
2- -1 1 0 -4 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9145,-267247] |
[a1,a2,a3,a4,a6] |
j |
4864 |
j-invariant |
L |
0.49526003914522 |
L(r)(E,1)/r! |
Ω |
0.4952600391452 |
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 |
23104b1 5776h1 23104br1 |
Quadratic twists by: -4 8 -19 |