Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cx |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1406287872 = 214 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-636,-5904] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:16:1] |
Generators of the group modulo torsion |
j |
64314864/3179 |
j-invariant |
L |
4.9449519383107 |
L(r)(E,1)/r! |
Ω |
0.95359854514034 |
Real period |
R |
1.2963924815906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712r2 26928f2 107712cz2 |
Quadratic twists by: -4 8 -3 |