Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720m |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-31248100000000 = -1 · 28 · 58 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7153,134586] |
[a1,a2,a3,a4,a6] |
Generators |
[482:10750:1] |
Generators of the group modulo torsion |
j |
158106025689264/122062890625 |
j-invariant |
L |
4.6394171708385 |
L(r)(E,1)/r! |
Ω |
0.4228522433509 |
Real period |
R |
1.3714652233073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11180a2 |
Quadratic twists by: -4 |