Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29584a |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
173376 |
Modular degree for the optimal curve |
Δ |
2992179271065856 = 28 · 438 |
Discriminant |
Eigenvalues |
2+ 1 -1 -5 0 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185516,30580748] |
[a1,a2,a3,a4,a6] |
Generators |
[5538:29584:27] |
Generators of the group modulo torsion |
j |
235984 |
j-invariant |
L |
4.5579187883982 |
L(r)(E,1)/r! |
Ω |
0.45294650611001 |
Real period |
R |
1.6771365297058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14792a1 118336y1 29584f1 |
Quadratic twists by: -4 8 -43 |