Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
107690x |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
140325346810 = 2 · 5 · 116 · 892 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6678,-207589] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:333:8] |
Generators of the group modulo torsion |
j |
18588565449/79210 |
j-invariant |
L |
9.779513285816 |
L(r)(E,1)/r! |
Ω |
0.52826808045597 |
Real period |
R |
4.6281015569922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999931063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890a2 |
Quadratic twists by: -11 |