Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dm |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
146023907328 = 218 · 34 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4161,100287] |
[a1,a2,a3,a4,a6] |
j |
30400540561/557037 |
j-invariant |
L |
4.126899354961 |
L(r)(E,1)/r! |
Ω |
1.0317248387679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408l2 14352x2 |
Quadratic twists by: -4 8 |