Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11055d |
Isogeny class |
Conductor |
11055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3055325625 = 32 · 54 · 112 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-750,-7758] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:26:1] |
Generators of the group modulo torsion |
j |
46659888108001/3055325625 |
j-invariant |
L |
3.0319961960595 |
L(r)(E,1)/r! |
Ω |
0.91603693419255 |
Real period |
R |
1.6549530280305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33165k2 55275o2 121605f2 |
Quadratic twists by: -3 5 -11 |