Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008o |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1170806565888 = 210 · 310 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13323,-589610] |
[a1,a2,a3,a4,a6] |
Generators |
[-7905:572:125] |
Generators of the group modulo torsion |
j |
350350152484/1568403 |
j-invariant |
L |
10.269719268175 |
L(r)(E,1)/r! |
Ω |
0.44449413132722 |
Real period |
R |
5.7760713481798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27336g2 |
Quadratic twists by: -3 |