Atkin-Lehner |
2- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904k |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
85904 = 24 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 1 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17,23] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
33958656/5369 |
j-invariant |
L |
5.5438158352174 |
L(r)(E,1)/r! |
Ω |
3.260266946616 |
Real period |
R |
1.7004177643567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21476d1 |
Quadratic twists by: -4 |