Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408do |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
191053824 = 214 · 3 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1489,-22609] |
[a1,a2,a3,a4,a6] |
j |
22298697808/11661 |
j-invariant |
L |
3.0741510239308 |
L(r)(E,1)/r! |
Ω |
0.76853775693079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408w2 14352a2 |
Quadratic twists by: -4 8 |