Atkin-Lehner |
2- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89936w |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-368377856 = -1 · 216 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11- -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1160,-15628] |
[a1,a2,a3,a4,a6] |
j |
-42180533641/89936 |
j-invariant |
L |
0.81789650835329 |
L(r)(E,1)/r! |
Ω |
0.40894827665072 |
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 |
11242a1 |
Quadratic twists by: -4 |