Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43316i |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-142227338712368 = -1 · 24 · 77 · 133 · 173 |
Discriminant |
Eigenvalues |
2- -1 0 7- 3 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12087,256054] |
[a1,a2,a3,a4,a6] |
j |
103737344000/75557027 |
j-invariant |
L |
2.219090911949 |
L(r)(E,1)/r! |
Ω |
0.36984848532851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188e2 |
Quadratic twists by: -7 |