Atkin-Lehner |
2+ 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550l |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-113230000 = -1 · 24 · 54 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49,498] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-28:1] |
Generators of the group modulo torsion |
j |
21434375/181168 |
j-invariant |
L |
3.4388313761454 |
L(r)(E,1)/r! |
Ω |
1.3693951705852 |
Real period |
R |
0.62780113622588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43550w1 |
Quadratic twists by: 5 |