Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560cn |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
19592047411200 = 214 · 33 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12625,498575] |
[a1,a2,a3,a4,a6] |
Generators |
[5:660:1] |
Generators of the group modulo torsion |
j |
13584145739344/1195803675 |
j-invariant |
L |
5.5005011604875 |
L(r)(E,1)/r! |
Ω |
0.66810416031394 |
Real period |
R |
0.45738885634431 |
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 |
10560i2 2640o2 31680co2 52800ev2 |
Quadratic twists by: -4 8 -3 5 |