Atkin-Lehner |
2- 3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5694f |
Isogeny class |
Conductor |
5694 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-357290055798 = -1 · 2 · 3 · 138 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1741,-6585] |
[a1,a2,a3,a4,a6] |
j |
583585422045263/357290055798 |
j-invariant |
L |
4.431639588227 |
L(r)(E,1)/r! |
Ω |
0.55395494852837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45552i3 17082d4 74022k3 |
Quadratic twists by: -4 -3 13 |