Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054v |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
87843078018432 = 27 · 36 · 113 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12713,312599] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:832:1] |
Generators of the group modulo torsion |
j |
170722960296875/65997804672 |
j-invariant |
L |
5.6919551778303 |
L(r)(E,1)/r! |
Ω |
0.55092839431397 |
Real period |
R |
0.36898463682758 |
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 |
63162n2 21054a2 |
Quadratic twists by: -3 -11 |