Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bn |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
168960 = 210 · 3 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221,1341] |
[a1,a2,a3,a4,a6] |
Generators |
[25:104:1] |
Generators of the group modulo torsion |
j |
1171019776/165 |
j-invariant |
L |
3.6792381153003 |
L(r)(E,1)/r! |
Ω |
3.1076600967508 |
Real period |
R |
2.3678510524025 |
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 |
10560p1 2640k1 31680dg1 52800gv1 |
Quadratic twists by: -4 8 -3 5 |