Atkin-Lehner |
2+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
544c |
Isogeny class |
Conductor |
544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
1088 = 26 · 17 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,-48] |
[a1,a2,a3,a4,a6] |
j |
19248832/17 |
j-invariant |
L |
1.0981311175831 |
L(r)(E,1)/r! |
Ω |
2.1962622351662 |
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 |
544b1 1088l2 4896o1 13600p1 |
Quadratic twists by: -4 8 -3 5 |