Atkin-Lehner |
2+ 3- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170bd |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-5.1272308209375E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64215909,226067190165] |
[a1,a2,a3,a4,a6] |
Generators |
[-4239:651807:1] |
Generators of the group modulo torsion |
j |
-40172058939880775073012049/7033238437500000000000 |
j-invariant |
L |
6.510626017532 |
L(r)(E,1)/r! |
Ω |
0.073719931308079 |
Real period |
R |
1.3799325334869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27390z2 |
Quadratic twists by: -3 |