Atkin-Lehner |
2+ 3+ 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170c |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1150117056000000000 = 215 · 39 · 59 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-350475,-60866875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1594:8897:8] |
Generators of the group modulo torsion |
j |
241882389319241763/58432000000000 |
j-invariant |
L |
2.3669011207714 |
L(r)(E,1)/r! |
Ω |
0.19966454619894 |
Real period |
R |
5.9271942995001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82170bk1 |
Quadratic twists by: -3 |