Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920im |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
127733760000 = 215 · 34 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3585,-82017] |
[a1,a2,a3,a4,a6] |
j |
155547270152/3898125 |
j-invariant |
L |
4.9433435518209 |
L(r)(E,1)/r! |
Ω |
0.61791794401495 |
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 |
73920fh3 36960bf3 |
Quadratic twists by: -4 8 |