Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cq |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-1.199634988233E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1045000,329941716] |
[a1,a2,a3,a4,a6] |
j |
628805222251722551/597713542447104 |
j-invariant |
L |
3.4220885528188 |
L(r)(E,1)/r! |
Ω |
0.12221744832158 |
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 |
5586h1 44688bt1 |
Quadratic twists by: -4 -7 |