Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544p |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1932139173888 = 211 · 36 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3195,-18954] |
[a1,a2,a3,a4,a6] |
j |
2415899250/1294139 |
j-invariant |
L |
1.350954046467 |
L(r)(E,1)/r! |
Ω |
0.67547702323351 |
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 |
11088s2 44352q2 616a2 38808cg2 |
Quadratic twists by: -4 8 -3 -7 |