Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bu |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.2226397733266E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61071699,183370210270] |
[a1,a2,a3,a4,a6] |
Generators |
[524304102478:-602145253215:120553784] |
Generators of the group modulo torsion |
j |
6991270724335972/14494474449 |
j-invariant |
L |
7.777566220106 |
L(r)(E,1)/r! |
Ω |
0.11248196361482 |
Real period |
R |
17.286251866941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392k2 6552j2 |
Quadratic twists by: -3 13 |