Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560t |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
157384050278400 = 216 · 38 · 52 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15201,390015] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1056:1] |
Generators of the group modulo torsion |
j |
5927735656804/2401490025 |
j-invariant |
L |
5.1927789725645 |
L(r)(E,1)/r! |
Ω |
0.5226420480353 |
Real period |
R |
0.62097698990219 |
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 |
10560bh4 1320h3 31680bf3 52800x3 |
Quadratic twists by: -4 8 -3 5 |