Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944h |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1531809792 = 212 · 39 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756,7776] |
[a1,a2,a3,a4,a6] |
j |
592704/19 |
j-invariant |
L |
2.9978209967784 |
L(r)(E,1)/r! |
Ω |
1.4989104983892 |
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 |
10944d1 5472a1 10944f1 |
Quadratic twists by: -4 8 -3 |