Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365m |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3267623403375 = -1 · 3 · 53 · 176 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,427,-86869] |
[a1,a2,a3,a4,a6] |
Generators |
[4755:60689:27] |
Generators of the group modulo torsion |
j |
357911/135375 |
j-invariant |
L |
11.135414240584 |
L(r)(E,1)/r! |
Ω |
0.37302030932954 |
Real period |
R |
4.9753386790726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
285b1 |
Quadratic twists by: 17 |