Atkin-Lehner |
3- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
44055k |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
23748068025 = 36 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1832,29706] |
[a1,a2,a3,a4,a6] |
Generators |
[6:134:1] |
Generators of the group modulo torsion |
j |
932288503609/32576225 |
j-invariant |
L |
4.7361513184772 |
L(r)(E,1)/r! |
Ω |
1.1913389749588 |
Real period |
R |
0.99387147949294 |
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 |
4895a1 |
Quadratic twists by: -3 |