Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054be |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-13598525952 = -1 · 29 · 32 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-448,6656] |
[a1,a2,a3,a4,a6] |
Generators |
[80:656:1] |
Generators of the group modulo torsion |
j |
-82192647625/112384512 |
j-invariant |
L |
9.1104666211128 |
L(r)(E,1)/r! |
Ω |
1.1323655995841 |
Real period |
R |
0.14899105456523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162s2 21054m2 |
Quadratic twists by: -3 -11 |