Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bv |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.4310387673598E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5709747,-5282825614] |
[a1,a2,a3,a4,a6] |
j |
-6894246873502147249/47925198774000 |
j-invariant |
L |
0.58575531957224 |
L(r)(E,1)/r! |
Ω |
0.048812943297686 |
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 |
2790l3 89280eg3 7440i3 111600du3 |
Quadratic twists by: -4 8 -3 5 |