Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44206p |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
446400 |
Modular degree for the optimal curve |
Δ |
28875478963602496 = 26 · 232 · 318 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 -3 1 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-644851,-199199711] |
[a1,a2,a3,a4,a6] |
Generators |
[-57270:72841:125] |
Generators of the group modulo torsion |
j |
34770291889/33856 |
j-invariant |
L |
7.9446541163037 |
L(r)(E,1)/r! |
Ω |
0.16848455487746 |
Real period |
R |
1.3098223556727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44206n1 |
Quadratic twists by: -31 |