Atkin-Lehner |
2- 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
19422p |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
928512 |
Modular degree for the optimal curve |
Δ |
-7707779948278185984 = -1 · 231 · 39 · 133 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 4 5 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9886568,-11963376597] |
[a1,a2,a3,a4,a6] |
j |
-146599610355035416109881/10573086348804096 |
j-invariant |
L |
5.2787121316647 |
L(r)(E,1)/r! |
Ω |
0.042570259126328 |
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 |
6474a1 |
Quadratic twists by: -3 |