Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170bq |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
296514553500000 = 25 · 310 · 56 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125168,17055731] |
[a1,a2,a3,a4,a6] |
Generators |
[105:2197:1] |
Generators of the group modulo torsion |
j |
297490341120279481/406741500000 |
j-invariant |
L |
10.634112120732 |
L(r)(E,1)/r! |
Ω |
0.54546969074772 |
Real period |
R |
0.97476654474421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27390m2 |
Quadratic twists by: -3 |