Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
561d |
Isogeny class |
Conductor |
561 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20160657 = -1 · 34 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,68,17] |
[a1,a2,a3,a4,a6] |
j |
34741712447/20160657 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
8976r4 35904k3 1683e4 14025e4 |
Quadratic twists by: -4 8 -3 5 |