Atkin-Lehner |
2- 3+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182k |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4052746509124536 = -1 · 23 · 39 · 29 · 316 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -6 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17116,2934847] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:881:1] [35:1873:1] |
Generators of the group modulo torsion |
j |
28174942643589/205900853992 |
j-invariant |
L |
8.1847204953557 |
L(r)(E,1)/r! |
Ω |
0.32001123856495 |
Real period |
R |
0.71045425814667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456z2 16182b1 |
Quadratic twists by: -4 -3 |