Atkin-Lehner |
3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82173f |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16212517031529 = 32 · 78 · 132 · 432 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6347,-19015] |
[a1,a2,a3,a4,a6] |
Generators |
[-1164:19801:64] |
Generators of the group modulo torsion |
j |
240293820313/137804121 |
j-invariant |
L |
7.7526815151791 |
L(r)(E,1)/r! |
Ω |
0.58052512542502 |
Real period |
R |
6.6773005813588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11739f2 |
Quadratic twists by: -7 |