Atkin-Lehner |
3- 11+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9867i |
Isogeny class |
Conductor |
9867 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4276241773947 = 33 · 116 · 132 · 232 |
Discriminant |
Eigenvalues |
1 3- 0 4 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75816,8028055] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:4080:1] |
Generators of the group modulo torsion |
j |
48194566758167973625/4276241773947 |
j-invariant |
L |
7.0251827962095 |
L(r)(E,1)/r! |
Ω |
0.74354069397101 |
Real period |
R |
1.57471381037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29601l2 108537q2 128271q2 |
Quadratic twists by: -3 -11 13 |