Atkin-Lehner |
2+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82160f |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
415400960 = 210 · 5 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1360,-19740] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:4:1] [43:56:1] |
Generators of the group modulo torsion |
j |
271869053764/405665 |
j-invariant |
L |
7.1980769651575 |
L(r)(E,1)/r! |
Ω |
0.78618931660572 |
Real period |
R |
4.5778267479953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41080d2 |
Quadratic twists by: -4 |