Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656o |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4358790443151180288 = 29 · 316 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5626515,5135991446] |
[a1,a2,a3,a4,a6] |
Generators |
[-655:92414:1] |
Generators of the group modulo torsion |
j |
52776995852155301000/11678000801481 |
j-invariant |
L |
7.6773578925446 |
L(r)(E,1)/r! |
Ω |
0.23907250672294 |
Real period |
R |
2.676091170667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82656d2 27552s2 |
Quadratic twists by: -4 -3 |