Atkin-Lehner |
2+ 3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bh |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
158013000098437500 = 22 · 32 · 58 · 233 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-277451,52876298] |
[a1,a2,a3,a4,a6] |
Generators |
[393:1942:1] |
Generators of the group modulo torsion |
j |
6046726294492105/404513280252 |
j-invariant |
L |
5.8064379121064 |
L(r)(E,1)/r! |
Ω |
0.31784629066512 |
Real period |
R |
0.38058476842323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999648873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950bn1 |
Quadratic twists by: 5 |