Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344gh |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4559740625633476608 = 216 · 38 · 139 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1608204,-778230128] |
[a1,a2,a3,a4,a6] |
j |
907924/9 |
j-invariant |
L |
4.8292167588577 |
L(r)(E,1)/r! |
Ω |
0.13414491323564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dd2 24336v2 32448dl2 97344gl2 |
Quadratic twists by: -4 8 -3 13 |