Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536l |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
3568474121472 = 28 · 32 · 133 · 893 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 2 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4369,62555] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:267:1] |
Generators of the group modulo torsion |
j |
36035394491392/13939352037 |
j-invariant |
L |
5.460270760541 |
L(r)(E,1)/r! |
Ω |
0.71946096177569 |
Real period |
R |
1.2648985492379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768i1 |
Quadratic twists by: -4 |