Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fh |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11001240747129600 = 28 · 36 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1593207,774011106] |
[a1,a2,a3,a4,a6] |
j |
1016339184/25 |
j-invariant |
L |
2.9977175186796 |
L(r)(E,1)/r! |
Ω |
0.37471469605873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780o2 9680k2 87120fg2 |
Quadratic twists by: -4 -3 -11 |