Atkin-Lehner |
2+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
29584g |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
1893376 = 210 · 432 |
Discriminant |
Eigenvalues |
2+ -3 -1 1 -4 5 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43,-86] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] [-3:4:1] |
Generators of the group modulo torsion |
j |
4644 |
j-invariant |
L |
5.2627900285118 |
L(r)(E,1)/r! |
Ω |
1.8928551597172 |
Real period |
R |
0.69508620370343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14792d1 118336bm1 29584d1 |
Quadratic twists by: -4 8 -43 |