Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120z |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
83298456000000 = 29 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151227,-22631346] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:10:1] |
Generators of the group modulo torsion |
j |
37953380909016/8265625 |
j-invariant |
L |
5.9017864911699 |
L(r)(E,1)/r! |
Ω |
0.24210173187977 |
Real period |
R |
2.0314416469149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120d2 66240d2 33120a2 |
Quadratic twists by: -4 8 -3 |