Atkin-Lehner |
2- 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932f |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.7445616719784E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1664631,-6408333090] |
[a1,a2,a3,a4,a6] |
j |
-101238660126177264/3462223254161287 |
j-invariant |
L |
0.42896267481108 |
L(r)(E,1)/r! |
Ω |
0.053620341387185 |
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 |
85932b2 |
Quadratic twists by: -3 |