Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109v |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
-1.663597808788E+21 |
Discriminant |
Eigenvalues |
-2 3- 0 -3 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,428415,1959405984] |
[a1,a2,a3,a4,a6] |
j |
86528000/16553403 |
j-invariant |
L |
0.46222842866978 |
L(r)(E,1)/r! |
Ω |
0.11555710718087 |
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 |
14703k1 44109u1 |
Quadratic twists by: -3 13 |