Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384cv |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-5.981792977763E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-844897,1213813535] |
[a1,a2,a3,a4,a6] |
Generators |
[23:34560:1] |
Generators of the group modulo torsion |
j |
-254445988507992217/2281872931580736 |
j-invariant |
L |
7.2642755629912 |
L(r)(E,1)/r! |
Ω |
0.13935534918212 |
Real period |
R |
1.6289910124102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384d3 18096z4 |
Quadratic twists by: -4 8 |