Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
1548c |
Isogeny class |
Conductor |
1548 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-8024832 = -1 · 28 · 36 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,-524] |
[a1,a2,a3,a4,a6] |
j |
-1024000/43 |
j-invariant |
L |
1.4389244771888 |
L(r)(E,1)/r! |
Ω |
0.71946223859439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6192n1 24768k1 172a1 38700f1 |
Quadratic twists by: -4 8 -3 5 |