Atkin-Lehner |
2- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89146d |
Isogeny class |
Conductor |
89146 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196000 |
Modular degree for the optimal curve |
Δ |
-504410176208 = -1 · 24 · 296 · 53 |
Discriminant |
Eigenvalues |
2- 1 -4 0 4 1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6325,196081] |
[a1,a2,a3,a4,a6] |
j |
-47045881/848 |
j-invariant |
L |
3.7234753976094 |
L(r)(E,1)/r! |
Ω |
0.93086882460747 |
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 |
106b1 |
Quadratic twists by: 29 |