Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408di |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2425619349504 = 217 · 32 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3158358529,-68319857019649] |
[a1,a2,a3,a4,a6] |
j |
26582637653663608426521740546/18506007 |
j-invariant |
L |
1.9333275112553 |
L(r)(E,1)/r! |
Ω |
0.02013882822291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408h4 14352i3 |
Quadratic twists by: -4 8 |