Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bk |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
746648660747630592 = 211 · 312 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79983034131,-8706526495316174] |
[a1,a2,a3,a4,a6] |
j |
322159999717985454060440834/4250799 |
j-invariant |
L |
0.57455335181711 |
L(r)(E,1)/r! |
Ω |
0.0089773898661832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976s4 39984o4 17136j4 |
Quadratic twists by: -4 -3 -7 |