Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bi |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
17219572920000 = 26 · 35 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202056,35025606] |
[a1,a2,a3,a4,a6] |
j |
14254800421166387776/269055826875 |
j-invariant |
L |
0.63740629523344 |
L(r)(E,1)/r! |
Ω |
0.63740629523344 |
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 |
10560cd1 5280r2 31680ea1 52800gb1 |
Quadratic twists by: -4 8 -3 5 |