Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29584d |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288960 |
Modular degree for the optimal curve |
Δ |
11968717084263424 = 210 · 438 |
Discriminant |
Eigenvalues |
2+ 3 1 -1 -4 5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79507,6837602] |
[a1,a2,a3,a4,a6] |
Generators |
[579:61228:27] |
Generators of the group modulo torsion |
j |
4644 |
j-invariant |
L |
10.298378950974 |
L(r)(E,1)/r! |
Ω |
0.37925196942435 |
Real period |
R |
6.7886127042437 |
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 |
14792f1 118336bc1 29584g1 |
Quadratic twists by: -4 8 -43 |