Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11552k |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-457662330368 = -1 · 29 · 197 |
Discriminant |
Eigenvalues |
2+ 3 0 1 -2 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1805,13718] |
[a1,a2,a3,a4,a6] |
j |
27000/19 |
j-invariant |
L |
4.7495285600049 |
L(r)(E,1)/r! |
Ω |
0.59369107000061 |
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 |
11552m1 23104cc1 103968bs1 608f1 |
Quadratic twists by: -4 8 -3 -19 |