Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650k |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-3.6593351320928E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 2 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27374925,-285764137875] |
[a1,a2,a3,a4,a6] |
Generators |
[22749038:2301243465:2197] |
Generators of the group modulo torsion |
j |
1161588924067993751611/18735795876315267072 |
j-invariant |
L |
3.8255832570187 |
L(r)(E,1)/r! |
Ω |
0.031760053144886 |
Real period |
R |
6.0226335867908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650cx2 |
Quadratic twists by: 5 |