Atkin-Lehner |
2+ 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544k |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49219996672 = 210 · 72 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1147,-10470] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:66:1] |
Generators of the group modulo torsion |
j |
162972380484/48066403 |
j-invariant |
L |
3.2939628926946 |
L(r)(E,1)/r! |
Ω |
0.83897126987667 |
Real period |
R |
0.9815481792108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41272i2 |
Quadratic twists by: -4 |