Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160w |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1308672 |
Modular degree for the optimal curve |
Δ |
-35522316357120000 = -1 · 212 · 39 · 54 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 -6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229608,43307568] |
[a1,a2,a3,a4,a6] |
j |
-16604795017728/440605625 |
j-invariant |
L |
2.9268560138794 |
L(r)(E,1)/r! |
Ω |
0.36585709435952 |
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 |
128160a1 128160e1 |
Quadratic twists by: -4 -3 |