Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dx |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-481152957677568 = -1 · 221 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17844,-521584] |
[a1,a2,a3,a4,a6] |
Generators |
[50:704:1] [61:891:1] |
Generators of the group modulo torsion |
j |
3288008303/2517768 |
j-invariant |
L |
10.892187190601 |
L(r)(E,1)/r! |
Ω |
0.29288722076723 |
Real period |
R |
2.3243134257774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cl2 26928bu2 35904by2 |
Quadratic twists by: -4 8 -3 |