Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16884b |
Isogeny class |
Conductor |
16884 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-39718633699584 = -1 · 28 · 39 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6561,223830] |
[a1,a2,a3,a4,a6] |
Generators |
[2210:38465:8] |
Generators of the group modulo torsion |
j |
6198727824/7882483 |
j-invariant |
L |
5.969358214007 |
L(r)(E,1)/r! |
Ω |
0.43394108018498 |
Real period |
R |
4.5853830443697 |
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 |
67536bd2 16884d2 118188d2 |
Quadratic twists by: -4 -3 -7 |