Atkin-Lehner |
2+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16280a |
Isogeny class |
Conductor |
16280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15964853062400 = -1 · 28 · 52 · 113 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4817,142818] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:180:1] [11:444:1] |
Generators of the group modulo torsion |
j |
48285161213616/62362707275 |
j-invariant |
L |
6.1746784226408 |
L(r)(E,1)/r! |
Ω |
0.46870499481842 |
Real period |
R |
3.2934780357063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32560d2 81400k2 |
Quadratic twists by: -4 5 |