Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82a |
Isogeny class |
Conductor |
82 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3362 = 2 · 412 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 -2 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
169112377/3362 |
j-invariant |
L |
0.58300155947061 |
L(r)(E,1)/r! |
Ω |
2.5944975201858 |
Real period |
R |
0.44941384983776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
656c2 2624b2 738i2 2050e2 |
Quadratic twists by: -4 8 -3 5 |