Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576z |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768768 |
Modular degree for the optimal curve |
Δ |
-379502107328512 = -1 · 215 · 710 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233697,43416127] |
[a1,a2,a3,a4,a6] |
j |
-152494664/41 |
j-invariant |
L |
2.0913516890826 |
L(r)(E,1)/r! |
Ω |
0.52283801986159 |
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 |
128576w1 64288e1 128576j1 |
Quadratic twists by: -4 8 -7 |