Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bg |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-188169692984000 = -1 · 26 · 53 · 77 · 134 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290007,59994901] |
[a1,a2,a3,a4,a6] |
Generators |
[342:809:1] |
Generators of the group modulo torsion |
j |
-802767616729/56000 |
j-invariant |
L |
3.8630642896898 |
L(r)(E,1)/r! |
Ω |
0.53954457150123 |
Real period |
R |
0.2983275537366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830c2 82810bx2 |
Quadratic twists by: -7 13 |