Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bd |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
148684800 = 214 · 3 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1585,-24817] |
[a1,a2,a3,a4,a6] |
j |
26894628304/9075 |
j-invariant |
L |
3.0264826785767 |
L(r)(E,1)/r! |
Ω |
0.75662066964417 |
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 |
10560bs2 660a2 31680m2 52800bb2 |
Quadratic twists by: -4 8 -3 5 |