Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128s |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-32321787534508032 = -1 · 223 · 36 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11+ -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71841,11366847] |
[a1,a2,a3,a4,a6] |
j |
-156425280396841/123297834528 |
j-invariant |
L |
4.0713893000989 |
L(r)(E,1)/r! |
Ω |
0.33928244167712 |
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 |
40128bp2 1254c2 120384bo2 |
Quadratic twists by: -4 8 -3 |