Atkin-Lehner |
2+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
544b |
Isogeny class |
Conductor |
544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1183744 = -1 · 212 · 172 |
Discriminant |
Eigenvalues |
2+ 2 2 2 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,65] |
[a1,a2,a3,a4,a6] |
j |
-140608/289 |
j-invariant |
L |
2.436176540234 |
L(r)(E,1)/r! |
Ω |
2.436176540234 |
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 |
544c2 1088n1 4896n2 13600r2 |
Quadratic twists by: -4 8 -3 5 |