Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304i |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
511805554128 = 24 · 310 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9354,-346507] |
[a1,a2,a3,a4,a6] |
j |
7760117512192/43879077 |
j-invariant |
L |
1.942486799793 |
L(r)(E,1)/r! |
Ω |
0.48562169994818 |
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 |
58608m1 9768g1 |
Quadratic twists by: -4 -3 |