Atkin-Lehner |
2- 3- |
Signs for the Atkin-Lehner involutions |
Class |
576h |
Isogeny class |
Conductor |
576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23887872 = 215 · 36 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:72:1] |
Generators of the group modulo torsion |
j |
287496 |
j-invariant |
L |
1.9024600490184 |
L(r)(E,1)/r! |
Ω |
2.1409010280752 |
Real period |
R |
0.44431293741981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
576h3 288d3 64a2 14400dn4 |
Quadratic twists by: -4 8 -3 5 |