Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
561d |
Isogeny class |
Conductor |
561 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2756193 = 3 · 11 · 174 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-182,-957] |
[a1,a2,a3,a4,a6] |
j |
666940371553/2756193 |
j-invariant |
L |
1.3001014679127 |
L(r)(E,1)/r! |
Ω |
1.3001014679127 |
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 |
8976r3 35904k4 1683e3 14025e3 |
Quadratic twists by: -4 8 -3 5 |