Atkin-Lehner |
2+ 3- |
Signs for the Atkin-Lehner involutions |
Class |
576b |
Isogeny class |
Conductor |
576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
71663616 = 215 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,15280] |
[a1,a2,a3,a4,a6] |
j |
7301384/3 |
j-invariant |
L |
1.9129209870718 |
L(r)(E,1)/r! |
Ω |
1.9129209870718 |
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 |
576c3 288c3 192b3 14400bt3 |
Quadratic twists by: -4 8 -3 5 |