Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524m |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-142443538033905264 = -1 · 24 · 3 · 139 · 234 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64714,19210733] |
[a1,a2,a3,a4,a6] |
Generators |
[47345:876603:125] |
Generators of the group modulo torsion |
j |
-6694125190912/31813498119 |
j-invariant |
L |
11.202028423425 |
L(r)(E,1)/r! |
Ω |
0.28368692384866 |
Real period |
R |
4.3874768983718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82524n2 |
Quadratic twists by: -23 |