Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
44044h |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27067392 |
Modular degree for the optimal curve |
Δ |
2.5041489694277E+26 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 11- 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-946552185,11183379082306] |
[a1,a2,a3,a4,a6] |
j |
27346133880692842479616/73012748461413397 |
j-invariant |
L |
1.000695340493 |
L(r)(E,1)/r! |
Ω |
0.055594185598485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44044l1 |
Quadratic twists by: -11 |