Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dk |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
570336932265984 = 222 · 32 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43969,3342911] |
[a1,a2,a3,a4,a6] |
j |
35861911358833/2175662736 |
j-invariant |
L |
4.0717811390276 |
L(r)(E,1)/r! |
Ω |
0.50897264224515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57408k2 14352w2 |
Quadratic twists by: -4 8 |