Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810q |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33589466258225150 = 2 · 52 · 77 · 138 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-629529,-192102298] |
[a1,a2,a3,a4,a6] |
Generators |
[-454:649:1] [21718:1065667:8] |
Generators of the group modulo torsion |
j |
48587168449/59150 |
j-invariant |
L |
5.1020142506075 |
L(r)(E,1)/r! |
Ω |
0.16950302341441 |
Real period |
R |
7.5249605406008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830h2 6370x2 |
Quadratic twists by: -7 13 |