Atkin-Lehner |
13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10309d |
Isogeny class |
Conductor |
10309 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
4.332537876431E+23 |
Discriminant |
Eigenvalues |
-1 3 1 -2 2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37605912,-82912125578] |
[a1,a2,a3,a4,a6] |
Generators |
[-6215416899186019978787859345805996748478360190926360:-132685192560343508877291012740338605422331802198493083:1896110203886897774490693160518449391641296833024] |
Generators of the group modulo torsion |
j |
42663703703722569/3142742836021 |
j-invariant |
L |
5.0458292374336 |
L(r)(E,1)/r! |
Ω |
0.061249333290146 |
Real period |
R |
82.381782239667 |
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 |
92781g2 10309b2 |
Quadratic twists by: -3 13 |