Atkin-Lehner |
2- 3+ |
Signs for the Atkin-Lehner involutions |
Class |
576g |
Isogeny class |
Conductor |
576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
1259712 = 26 · 39 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 0 6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.1502739358899 |
L(r)(E,1)/r! |
Ω |
2.3005478717798 |
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 |
576g1 288e2 576f1 14400cr1 |
Quadratic twists by: -4 8 -3 5 |