Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cw |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
27242317500383232 = 219 · 33 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-223393,39782111] |
[a1,a2,a3,a4,a6] |
Generators |
[305:336:1] |
Generators of the group modulo torsion |
j |
4703210486403625/103921194078 |
j-invariant |
L |
9.0394744776686 |
L(r)(E,1)/r! |
Ω |
0.37459313189903 |
Real period |
R |
4.0219079083913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408n2 14352q2 |
Quadratic twists by: -4 8 |