Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266d |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-21760432713396 = -1 · 22 · 33 · 139 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 -2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1017,-225207] |
[a1,a2,a3,a4,a6] |
j |
-24137569/4508244 |
j-invariant |
L |
1.2109478728317 |
L(r)(E,1)/r! |
Ω |
0.30273696820794 |
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 |
57798bk1 1482h1 |
Quadratic twists by: -3 13 |