Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064w |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-131137536 = -1 · 216 · 3 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 5 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-609] |
[a1,a2,a3,a4,a6] |
j |
-470596/2001 |
j-invariant |
L |
3.0558868733504 |
L(r)(E,1)/r! |
Ω |
0.76397147115406 |
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 |
128064cn1 16008h1 |
Quadratic twists by: -4 8 |