Atkin-Lehner |
2- 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13706k |
Isogeny class |
Conductor |
13706 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1.1355151880594E+23 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1540680,-16195312631] |
[a1,a2,a3,a4,a6] |
j |
404446451346045492693119/113551518805936258201616 |
j-invariant |
L |
3.9573238409866 |
L(r)(E,1)/r! |
Ω |
0.049466548012332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109648e2 123354t2 95942bb2 |
Quadratic twists by: -4 -3 -7 |