Atkin-Lehner |
2- 3- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758w |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
15197747097341952 = 212 · 36 · 116 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5644355,5162831939] |
[a1,a2,a3,a4,a6] |
Generators |
[-1517:101914:1] |
Generators of the group modulo torsion |
j |
27279667585959979515625/20847389708288 |
j-invariant |
L |
7.5493804296713 |
L(r)(E,1)/r! |
Ω |
0.3272454642744 |
Real period |
R |
2.8836841353964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4862c3 |
Quadratic twists by: -3 |