Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064cs |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7596415456837632 = 216 · 33 · 236 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50593,-1248575] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:1748:1] [299:3204:1] |
Generators of the group modulo torsion |
j |
218536338734500/115912101087 |
j-invariant |
L |
9.5119319673671 |
L(r)(E,1)/r! |
Ω |
0.33803764456586 |
Real period |
R |
9.3795588726944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bc2 32016g2 |
Quadratic twists by: -4 8 |