Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524j |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
548767458315418368 = 28 · 3 · 136 · 236 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-395868,88864692] |
[a1,a2,a3,a4,a6] |
Generators |
[3754:20631:8] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
7.5260685459445 |
L(r)(E,1)/r! |
Ω |
0.28530570218784 |
Real period |
R |
4.3964938233394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
156b4 |
Quadratic twists by: -23 |