Atkin-Lehner |
3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785a |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4590075735 = 33 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-598,-4847] |
[a1,a2,a3,a4,a6] |
j |
23711636464489/4590075735 |
j-invariant |
L |
0.97822517963137 |
L(r)(E,1)/r! |
Ω |
0.97822517963137 |
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 |
28560dp2 114240ei2 5355k2 8925z2 |
Quadratic twists by: -4 8 -3 5 |