Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810cb |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.1343937896932E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23323264,27328518433] |
[a1,a2,a3,a4,a6] |
Generators |
[10181:1143909:1] |
Generators of the group modulo torsion |
j |
1029084842471/832000000 |
j-invariant |
L |
14.073368356949 |
L(r)(E,1)/r! |
Ω |
0.05605095957391 |
Real period |
R |
5.2308680566643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810ch2 6370i2 |
Quadratic twists by: -7 13 |