Atkin-Lehner |
2+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
44968a |
Isogeny class |
Conductor |
44968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
89936 = 24 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 11+ 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38,89] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
379275264/5621 |
j-invariant |
L |
4.8149572361038 |
L(r)(E,1)/r! |
Ω |
3.4026260252156 |
Real period |
R |
0.70753547413349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936g1 |
Quadratic twists by: -4 |