Atkin-Lehner |
3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82173m |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
59386509273 = 3 · 77 · 13 · 432 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-981,-1632] |
[a1,a2,a3,a4,a6] |
Generators |
[320415:2788196:3375] |
Generators of the group modulo torsion |
j |
887503681/504777 |
j-invariant |
L |
7.5277719152234 |
L(r)(E,1)/r! |
Ω |
0.92185409784674 |
Real period |
R |
8.165903836659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739c1 |
Quadratic twists by: -7 |