Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170u |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
516749702700 = 22 · 3 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78524,-8475778] |
[a1,a2,a3,a4,a6] |
j |
455129268177961/4392300 |
j-invariant |
L |
2.2816018067826 |
L(r)(E,1)/r! |
Ω |
0.28520022584783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360dt4 48510dt4 80850en4 330e3 |
Quadratic twists by: -4 -3 5 -7 |