Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810ch |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-9.642188116288E+18 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,475985,-79606983] |
[a1,a2,a3,a4,a6] |
Generators |
[1574:-68387:1] |
Generators of the group modulo torsion |
j |
1029084842471/832000000 |
j-invariant |
L |
7.7512343605001 |
L(r)(E,1)/r! |
Ω |
0.12752403461242 |
Real period |
R |
0.21105047598008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810cb2 6370a2 |
Quadratic twists by: -7 13 |