Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16992g |
Isogeny class |
Conductor |
16992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11693486592 = -1 · 29 · 38 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,6266] |
[a1,a2,a3,a4,a6] |
Generators |
[10:54:1] |
Generators of the group modulo torsion |
j |
-24389000/31329 |
j-invariant |
L |
3.6605599969803 |
L(r)(E,1)/r! |
Ω |
1.1490346013776 |
Real period |
R |
1.5928850152083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16992c2 33984s2 5664b2 |
Quadratic twists by: -4 8 -3 |