Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19680t |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-590400000000 = -1 · 212 · 32 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1135,33537] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:105:1] [-11:140:1] |
Generators of the group modulo torsion |
j |
39442883264/144140625 |
j-invariant |
L |
6.5507465076163 |
L(r)(E,1)/r! |
Ω |
0.65201799734092 |
Real period |
R |
2.511719973349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19680bd4 39360cp1 59040e2 98400w2 |
Quadratic twists by: -4 8 -3 5 |