Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627u |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0618442601346E+23 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-254185130,-1559758217821] |
[a1,a2,a3,a4,a6] |
Generators |
[8805660306390:-1559955429397013:226981000] |
Generators of the group modulo torsion |
j |
376282496854643496245857/21998887052182677 |
j-invariant |
L |
12.39679927061 |
L(r)(E,1)/r! |
Ω |
0.037810597754635 |
Real period |
R |
20.491608182001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279i5 |
Quadratic twists by: 13 |