Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dh |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
1092405067776 = 215 · 32 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11+ -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2689,-19681] |
[a1,a2,a3,a4,a6] |
j |
65645911304/33337557 |
j-invariant |
L |
2.7985275339427 |
L(r)(E,1)/r! |
Ω |
0.69963188357357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576cr1 24288m1 |
Quadratic twists by: -4 8 |