Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608bd |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
776536064 = 216 · 172 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15809,-770369] |
[a1,a2,a3,a4,a6] |
j |
6667828959172/11849 |
j-invariant |
L |
0.85153245949199 |
L(r)(E,1)/r! |
Ω |
0.42576622982557 |
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 |
44608e1 11152b1 |
Quadratic twists by: -4 8 |