Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648o |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14996348928 = -1 · 213 · 32 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,6256] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:88:1] [4:72:1] |
Generators of the group modulo torsion |
j |
-594823321/3661218 |
j-invariant |
L |
5.2725767854168 |
L(r)(E,1)/r! |
Ω |
1.0750308901609 |
Real period |
R |
0.613072707221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706i2 86592dk2 64944bx2 |
Quadratic twists by: -4 8 -3 |