Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787o |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2111451393459E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1683960,-824401679] |
[a1,a2,a3,a4,a6] |
j |
2533811507137/58110129 |
j-invariant |
L |
4.7777741550426 |
L(r)(E,1)/r! |
Ω |
0.13271594875118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53361bp4 2541b3 1617g3 |
Quadratic twists by: -3 -7 -11 |