Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840h |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5.9302738309439E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-454683,11717029618] |
[a1,a2,a3,a4,a6] |
Generators |
[-2206:44550:1] |
Generators of the group modulo torsion |
j |
-27851742625371848/158882936571500625 |
j-invariant |
L |
4.8728968222162 |
L(r)(E,1)/r! |
Ω |
0.089063285059562 |
Real period |
R |
2.2796977167029 |
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 |
15840r4 31680bg3 5280o4 79200dv2 |
Quadratic twists by: -4 8 -3 5 |