Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266p |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
89141508612 = 22 · 35 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16143,-796047] |
[a1,a2,a3,a4,a6] |
j |
96386901625/18468 |
j-invariant |
L |
0.4235535695813 |
L(r)(E,1)/r! |
Ω |
0.4235535695813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57798j1 114b1 |
Quadratic twists by: -3 13 |