Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bo |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-11963167546540032 = -1 · 236 · 32 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6977,-5269473] |
[a1,a2,a3,a4,a6] |
j |
-143301984337/45635862528 |
j-invariant |
L |
6.4725421604818 |
L(r)(E,1)/r! |
Ω |
0.17979284794763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064cg1 4002j1 |
Quadratic twists by: -4 8 |