Atkin-Lehner |
7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44891k |
Isogeny class |
Conductor |
44891 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
44891 = 7 · 112 · 53 |
Discriminant |
Eigenvalues |
1 0 -1 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50,149] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-1:1] [206:891:8] |
Generators of the group modulo torsion |
j |
115538049/371 |
j-invariant |
L |
10.462290016212 |
L(r)(E,1)/r! |
Ω |
3.6109833368505 |
Real period |
R |
2.8973520618176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44891e1 |
Quadratic twists by: -11 |