Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586ba |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1871775827712 = 28 · 310 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8884,314768] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-2140:1] |
Generators of the group modulo torsion |
j |
226077997131559/5457072384 |
j-invariant |
L |
6.0467759489049 |
L(r)(E,1)/r! |
Ω |
0.83188632941475 |
Real period |
R |
0.090859407936764 |
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 |
44688cb2 16758m2 5586v2 106134p2 |
Quadratic twists by: -4 -3 -7 -19 |