Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109z |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
1470908761085774673 = 314 · 139 · 29 |
Discriminant |
Eigenvalues |
1 3- 0 -2 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78385527,-267097649688] |
[a1,a2,a3,a4,a6] |
j |
6889911821399125/190269 |
j-invariant |
L |
1.8265984518923 |
L(r)(E,1)/r! |
Ω |
0.050738845890748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14703n1 44109bb1 |
Quadratic twists by: -3 13 |