Atkin-Lehner |
2- 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8866j |
Isogeny class |
Conductor |
8866 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7440 |
Modular degree for the optimal curve |
Δ |
-31399506424 = -1 · 23 · 11 · 135 · 312 |
Discriminant |
Eigenvalues |
2- 0 3 -3 11- 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2116,38943] |
[a1,a2,a3,a4,a6] |
Generators |
[27:17:1] |
Generators of the group modulo torsion |
j |
-1047317288239377/31399506424 |
j-invariant |
L |
6.8623808055122 |
L(r)(E,1)/r! |
Ω |
1.1672371605088 |
Real period |
R |
0.9798609682316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70928f1 79794d1 97526l1 115258d1 |
Quadratic twists by: -4 -3 -11 13 |