Atkin-Lehner |
2+ 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768h |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4770216935424 = 217 · 39 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 6 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6156,-153360] |
[a1,a2,a3,a4,a6] |
j |
10000422/1849 |
j-invariant |
L |
2.1834478787806 |
L(r)(E,1)/r! |
Ω |
0.54586196969511 |
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 |
24768bo2 3096a2 24768g2 |
Quadratic twists by: -4 8 -3 |