Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11055d |
Isogeny class |
Conductor |
11055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
863671875 = 3 · 58 · 11 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11805,-498600] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3203:1] |
Generators of the group modulo torsion |
j |
181938238527312721/863671875 |
j-invariant |
L |
3.0319961960595 |
L(r)(E,1)/r! |
Ω |
0.45801846709627 |
Real period |
R |
3.3099060560611 |
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 |
33165k4 55275o4 121605f4 |
Quadratic twists by: -3 5 -11 |