Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43316g |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33390720 |
Modular degree for the optimal curve |
Δ |
-3.3529551561034E+25 |
Discriminant |
Eigenvalues |
2- -3 4 7- 1 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315629188,2176216292845] |
[a1,a2,a3,a4,a6] |
Generators |
[-135910594610:-5531702209229:6859000] |
Generators of the group modulo torsion |
j |
-1847340550827988392001536/17812280364173348963 |
j-invariant |
L |
4.8411774175626 |
L(r)(E,1)/r! |
Ω |
0.065841842223242 |
Real period |
R |
18.381842207377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188c1 |
Quadratic twists by: -7 |