Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bj |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-586615357440 = -1 · 224 · 33 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,384,-36864] |
[a1,a2,a3,a4,a6] |
Generators |
[698:18434:1] |
Generators of the group modulo torsion |
j |
1524845951/143216640 |
j-invariant |
L |
5.1301554936782 |
L(r)(E,1)/r! |
Ω |
0.4360011057298 |
Real period |
R |
5.8831909212415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770ba1 |
Quadratic twists by: -4 |