Atkin-Lehner |
2+ 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974g |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33456670596 = 22 · 36 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7971,275777] |
[a1,a2,a3,a4,a6] |
Generators |
[1:517:1] |
Generators of the group modulo torsion |
j |
76836090299697/45893924 |
j-invariant |
L |
3.9179381523707 |
L(r)(E,1)/r! |
Ω |
1.1524259978761 |
Real period |
R |
0.84993269840997 |
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 |
1886e3 |
Quadratic twists by: -3 |