Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bw |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
13516800 = 214 · 3 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1105,-13775] |
[a1,a2,a3,a4,a6] |
Generators |
[45:160:1] |
Generators of the group modulo torsion |
j |
9115564624/825 |
j-invariant |
L |
3.2551851827989 |
L(r)(E,1)/r! |
Ω |
0.82799668181823 |
Real period |
R |
1.96569941298 |
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 |
10560bf1 2640j1 31680dc1 52800gn1 |
Quadratic twists by: -4 8 -3 5 |