Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24128d |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
6176768 = 214 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ -2 2 2 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497,-4433] |
[a1,a2,a3,a4,a6] |
Generators |
[849:2960:27] |
Generators of the group modulo torsion |
j |
830321872/377 |
j-invariant |
L |
4.660523374625 |
L(r)(E,1)/r! |
Ω |
1.0109961394641 |
Real period |
R |
4.6098330079633 |
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 |
24128o1 3016c1 |
Quadratic twists by: -4 8 |