Atkin-Lehner |
2+ 3- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170be |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-5698534224237401250 = -1 · 2 · 38 · 54 · 114 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383706,-69534450] |
[a1,a2,a3,a4,a6] |
Generators |
[231:5487:1] |
Generators of the group modulo torsion |
j |
8570207124269080991/7816919374811250 |
j-invariant |
L |
3.5459514450925 |
L(r)(E,1)/r! |
Ω |
0.13169151880946 |
Real period |
R |
0.42072178823653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27390ba3 |
Quadratic twists by: -3 |