Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785l |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6559875 = -1 · 32 · 53 · 73 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12381,-534400] |
[a1,a2,a3,a4,a6] |
j |
-209906535145406464/6559875 |
j-invariant |
L |
1.3577785848007 |
L(r)(E,1)/r! |
Ω |
0.22629643080011 |
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 |
28560cm2 114240cp2 5355o2 8925a2 |
Quadratic twists by: -4 8 -3 5 |