Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586v |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
220212554354489088 = 28 · 310 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-435317,-108400741] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:896:1] |
Generators of the group modulo torsion |
j |
226077997131559/5457072384 |
j-invariant |
L |
5.4513886082227 |
L(r)(E,1)/r! |
Ω |
0.18613882158934 |
Real period |
R |
1.8304176694833 |
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 |
44688di2 16758k2 5586ba2 106134bh2 |
Quadratic twists by: -4 -3 -7 -19 |