Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440c |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
9338112 |
Modular degree for the optimal curve |
Δ |
-5.1059741475158E+22 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 1 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7915904,6683841020] |
[a1,a2,a3,a4,a6] |
j |
1875650198678810684/1745843240234375 |
j-invariant |
L |
1.0311353534788 |
L(r)(E,1)/r! |
Ω |
0.073652478301044 |
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 |
128440ba1 |
Quadratic twists by: 13 |