Atkin-Lehner |
2+ 3- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89784d |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
701440 |
Modular degree for the optimal curve |
Δ |
-151980788592 = -1 · 24 · 311 · 29 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 4 5 -3 1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-197463,33773555] |
[a1,a2,a3,a4,a6] |
j |
-73001770593961216/13029903 |
j-invariant |
L |
6.4727215360995 |
L(r)(E,1)/r! |
Ω |
0.80909018764626 |
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 |
29928f1 |
Quadratic twists by: -3 |