Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080dc |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
127946428416000000 = 218 · 310 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140065,-10578337] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:3105:1] |
Generators of the group modulo torsion |
j |
1159246431432649/488076890625 |
j-invariant |
L |
5.8249282176199 |
L(r)(E,1)/r! |
Ω |
0.25623227976959 |
Real period |
R |
0.75776664085907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22080r2 5520q2 66240er2 110400fy2 |
Quadratic twists by: -4 8 -3 5 |