Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
544a |
Isogeny class |
Conductor |
544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-147968 = -1 · 29 · 172 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5,18] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
27000/289 |
j-invariant |
L |
1.9135747396752 |
L(r)(E,1)/r! |
Ω |
2.3970980311645 |
Real period |
R |
1.596576122292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
544d2 1088b2 4896q2 13600s2 |
Quadratic twists by: -4 8 -3 5 |