Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840s |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-27323619840 = -1 · 29 · 36 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,-7938] |
[a1,a2,a3,a4,a6] |
Generators |
[34:188:1] |
Generators of the group modulo torsion |
j |
474552/73205 |
j-invariant |
L |
4.3353813521537 |
L(r)(E,1)/r! |
Ω |
0.55998892092334 |
Real period |
R |
3.8709527904635 |
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 |
15840i4 31680bq3 1760f4 79200t2 |
Quadratic twists by: -4 8 -3 5 |