Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810w |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
Δ |
-152226776406250 = -1 · 2 · 57 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 3 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-666899,-209456857] |
[a1,a2,a3,a4,a6] |
j |
-33669235266849/156250 |
j-invariant |
L |
1.7541781230931 |
L(r)(E,1)/r! |
Ω |
0.083532290664524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810d2 82810bq2 |
Quadratic twists by: -7 13 |