Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722fw |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
197259333784128 = 26 · 39 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15665,-331999] |
[a1,a2,a3,a4,a6] |
j |
3723875/1728 |
j-invariant |
L |
5.3545847500272 |
L(r)(E,1)/r! |
Ω |
0.44621537718802 |
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 |
35574v1 2178h1 106722cb1 |
Quadratic twists by: -3 -7 -11 |