Atkin-Lehner |
3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627d |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.5726287950167E+20 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1931927,97987664] |
[a1,a2,a3,a4,a6] |
Generators |
[-476:30404:1] |
Generators of the group modulo torsion |
j |
165209778377103097/94733990821197 |
j-invariant |
L |
3.6669200201959 |
L(r)(E,1)/r! |
Ω |
0.14253028081692 |
Real period |
R |
3.2159131376035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279e3 |
Quadratic twists by: 13 |