Atkin-Lehner |
2+ 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
21912a |
Isogeny class |
Conductor |
21912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9622269499392 = -1 · 211 · 32 · 11 · 834 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1928,146288] |
[a1,a2,a3,a4,a6] |
Generators |
[10555:119784:125] |
Generators of the group modulo torsion |
j |
386802767374/4698373779 |
j-invariant |
L |
8.1107883207669 |
L(r)(E,1)/r! |
Ω |
0.537049594491 |
Real period |
R |
7.5512470393484 |
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 |
43824f3 65736m3 |
Quadratic twists by: -4 -3 |