Atkin-Lehner |
2- 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450ck |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
71695335937500 = 22 · 33 · 59 · 112 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8712138,-9898447608] |
[a1,a2,a3,a4,a6] |
j |
37442765179321207181/36708012 |
j-invariant |
L |
4.2180293211745 |
L(r)(E,1)/r! |
Ω |
0.087875613073689 |
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 |
87450m2 |
Quadratic twists by: 5 |