Atkin-Lehner |
2- 5+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
19570f |
Isogeny class |
Conductor |
19570 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
14448 |
Modular degree for the optimal curve |
Δ |
-594928000 = -1 · 27 · 53 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-996,-12571] |
[a1,a2,a3,a4,a6] |
j |
-109277054296129/594928000 |
j-invariant |
L |
5.9468791336377 |
L(r)(E,1)/r! |
Ω |
0.42477708097412 |
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 |
97850b1 |
Quadratic twists by: 5 |