Atkin-Lehner |
2- 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140f |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2861252100000000 = -1 · 28 · 38 · 58 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35103,-3609898] |
[a1,a2,a3,a4,a6] |
j |
-25632379281616/15331640625 |
j-invariant |
L |
0.67899726405418 |
L(r)(E,1)/r! |
Ω |
0.16974927762296 |
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 |
37380d2 |
Quadratic twists by: -3 |