Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992n |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2.911798445259E+19 |
Discriminant |
Eigenvalues |
2+ 3 2 -1 0 -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76204,259746608] |
[a1,a2,a3,a4,a6] |
j |
-186688297520577/111076295671808 |
j-invariant |
L |
6.1106824594579 |
L(r)(E,1)/r! |
Ω |
0.16974117942804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bp1 1406g1 |
Quadratic twists by: -4 8 |