Atkin-Lehner |
2+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128f |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-16216653924663296 = -1 · 221 · 13 · 296 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21663,5995489] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1856:1] [232:4843:1] |
Generators of the group modulo torsion |
j |
4288639501223/61861625384 |
j-invariant |
L |
5.4667474936977 |
L(r)(E,1)/r! |
Ω |
0.2903701293459 |
Real period |
R |
0.78445102491729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24128r2 754a2 |
Quadratic twists by: -4 8 |