Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bf |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
13572734976 = 215 · 33 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33377,2335935] |
[a1,a2,a3,a4,a6] |
Generators |
[13:1380:1] |
Generators of the group modulo torsion |
j |
125495653687496/414207 |
j-invariant |
L |
12.112098902173 |
L(r)(E,1)/r! |
Ω |
1.0978439664945 |
Real period |
R |
1.8387705370665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064t2 64032a2 |
Quadratic twists by: -4 8 |