Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39039w |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
Δ |
-1.7579921398734E+27 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-495218676,-4697035044635] |
[a1,a2,a3,a4,a6] |
j |
-1266556547153680328125/165777947457789051 |
j-invariant |
L |
1.2390993230908 |
L(r)(E,1)/r! |
Ω |
0.01588588875837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117117z2 39039y2 |
Quadratic twists by: -3 13 |