Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560f |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2534400000000 = 216 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9281,338625] |
[a1,a2,a3,a4,a6] |
j |
1349195526724/38671875 |
j-invariant |
L |
1.6189474066093 |
L(r)(E,1)/r! |
Ω |
0.80947370330463 |
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 |
10560ca3 1320m4 31680be3 52800cq3 |
Quadratic twists by: -4 8 -3 5 |