Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
44044r |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
149221072 = 24 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 11- 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45496,3735149] |
[a1,a2,a3,a4,a6] |
Generators |
[3333:154:27] |
Generators of the group modulo torsion |
j |
44458277732352/637 |
j-invariant |
L |
10.238832294689 |
L(r)(E,1)/r! |
Ω |
1.2990447112542 |
Real period |
R |
1.3136361160848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44044e1 |
Quadratic twists by: -11 |