Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1584i |
Isogeny class |
Conductor |
1584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9755209728 = 212 · 39 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2403,45090] |
[a1,a2,a3,a4,a6] |
j |
19034163/121 |
j-invariant |
L |
2.5971829850086 |
L(r)(E,1)/r! |
Ω |
1.2985914925043 |
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 |
99c2 6336bu2 1584k2 39600by2 |
Quadratic twists by: -4 8 -3 5 |