Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648bb |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-16331023982592 = -1 · 213 · 34 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14712,708948] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:984:1] |
Generators of the group modulo torsion |
j |
-85982176079353/3987066402 |
j-invariant |
L |
7.0979590121498 |
L(r)(E,1)/r! |
Ω |
0.68890856367557 |
Real period |
R |
0.64394966422319 |
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 |
2706c2 86592cj2 64944bu2 |
Quadratic twists by: -4 8 -3 |