Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dc |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1458511767712825344 = 222 · 34 · 236 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12812449,-17656274209] |
[a1,a2,a3,a4,a6] |
j |
887320005345582835753/5563780852176 |
j-invariant |
L |
1.2767662956279 |
L(r)(E,1)/r! |
Ω |
0.079797939582104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064u2 32016m2 |
Quadratic twists by: -4 8 |