Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560d |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
203233536000000 = 214 · 38 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16081,387025] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1053:1] |
Generators of the group modulo torsion |
j |
28071778927696/12404390625 |
j-invariant |
L |
2.9377622951665 |
L(r)(E,1)/r! |
Ω |
0.50725695198133 |
Real period |
R |
2.8957338915629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10560cg2 1320n2 31680ca2 52800cl2 |
Quadratic twists by: -4 8 -3 5 |