Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120r |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1022787584000 = 218 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,50416] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:320:1] |
Generators of the group modulo torsion |
j |
13980103929/3901625 |
j-invariant |
L |
5.368769723429 |
L(r)(E,1)/r! |
Ω |
0.81673474422812 |
Real period |
R |
1.0955759629774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120cl1 455a1 |
Quadratic twists by: -4 8 |