Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840p |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3278834380800 = 212 · 37 · 52 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5052,-107296] |
[a1,a2,a3,a4,a6] |
Generators |
[88:360:1] |
Generators of the group modulo torsion |
j |
4775581504/1098075 |
j-invariant |
L |
5.1744848158942 |
L(r)(E,1)/r! |
Ω |
0.57564946994561 |
Real period |
R |
2.2472377228034 |
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 |
15840be3 31680s1 5280j3 79200dd3 |
Quadratic twists by: -4 8 -3 5 |