Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fn |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
179159040 |
Modular degree for the optimal curve |
Δ |
3.504237436328E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 0 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4414157537,109229744015921] |
[a1,a2,a3,a4,a6] |
Generators |
[10796667:410719798:343] |
Generators of the group modulo torsion |
j |
5434348796727413981963421289/200204500772599833680640 |
j-invariant |
L |
12.400594348877 |
L(r)(E,1)/r! |
Ω |
0.030079756575587 |
Real period |
R |
2.5766070727951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000147073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630bd1 127890fc1 |
Quadratic twists by: -3 -7 |