Atkin-Lehner |
3+ 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9867g |
Isogeny class |
Conductor |
9867 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
252507800509796403 = 313 · 116 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 2 -2 11- 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8511347,-9561043402] |
[a1,a2,a3,a4,a6] |
Generators |
[3436:40406:1] |
Generators of the group modulo torsion |
j |
68189672611244300966761393/252507800509796403 |
j-invariant |
L |
2.6384604355254 |
L(r)(E,1)/r! |
Ω |
0.088389377791626 |
Real period |
R |
4.9750707257785 |
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 |
29601c2 108537a2 128271a2 |
Quadratic twists by: -3 -11 13 |