Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560d |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14256000000000000 = -1 · 216 · 34 · 512 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55199,2824801] |
[a1,a2,a3,a4,a6] |
Generators |
[120:3341:1] |
Generators of the group modulo torsion |
j |
283811208976796/217529296875 |
j-invariant |
L |
2.9377622951665 |
L(r)(E,1)/r! |
Ω |
0.25362847599067 |
Real period |
R |
5.7914677831259 |
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 |
10560cg4 1320n4 31680ca3 52800cl3 |
Quadratic twists by: -4 8 -3 5 |