Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104p |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-803611116542492672 = -1 · 217 · 1910 |
Discriminant |
Eigenvalues |
2+ 1 4 0 -3 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173761,51298207] |
[a1,a2,a3,a4,a6] |
j |
-722 |
j-invariant |
L |
4.0765758284859 |
L(r)(E,1)/r! |
Ω |
0.25478598928036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23104bx1 2888e1 23104e1 |
Quadratic twists by: -4 8 -19 |