Atkin-Lehner |
11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8833c |
Isogeny class |
Conductor |
8833 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2100 |
Modular degree for the optimal curve |
Δ |
129323953 = 116 · 73 |
Discriminant |
Eigenvalues |
-1 0 2 -2 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-144,410] |
[a1,a2,a3,a4,a6] |
j |
185193/73 |
j-invariant |
L |
0.8420561502954 |
L(r)(E,1)/r! |
Ω |
1.6841123005908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79497i1 73a2 |
Quadratic twists by: -3 -11 |