Atkin-Lehner |
3- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
44055k |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3493517445 = 36 · 5 · 112 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29057,1913676] |
[a1,a2,a3,a4,a6] |
Generators |
[105:57:1] |
Generators of the group modulo torsion |
j |
3721641121835209/4792205 |
j-invariant |
L |
4.7361513184772 |
L(r)(E,1)/r! |
Ω |
1.1913389749588 |
Real period |
R |
1.9877429589859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895a2 |
Quadratic twists by: -3 |