Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
544f |
Isogeny class |
Conductor |
544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
1088 = 26 · 17 |
Discriminant |
Eigenvalues |
2- -2 4 4 -2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6,-8] |
[a1,a2,a3,a4,a6] |
j |
438976/17 |
j-invariant |
L |
1.5083297096219 |
L(r)(E,1)/r! |
Ω |
3.0166594192439 |
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 |
544e1 1088h1 4896i1 13600e1 |
Quadratic twists by: -4 8 -3 5 |