Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650s |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.61346019041E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-644126,-47418352] |
[a1,a2,a3,a4,a6] |
Generators |
[-459:12541:1] |
Generators of the group modulo torsion |
j |
1891538590393233361/1032614521862400 |
j-invariant |
L |
4.5694991699452 |
L(r)(E,1)/r! |
Ω |
0.17992621573737 |
Real period |
R |
1.0581882019702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001539 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16530w2 |
Quadratic twists by: 5 |