Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616p |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
55130345048064 = 211 · 3 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9520,-11636] |
[a1,a2,a3,a4,a6] |
Generators |
[-1005:14534:27] |
Generators of the group modulo torsion |
j |
57122/33 |
j-invariant |
L |
5.5516508444047 |
L(r)(E,1)/r! |
Ω |
0.52805654377327 |
Real period |
R |
3.5044547847898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232m1 44616a1 |
Quadratic twists by: -4 13 |