Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6666f |
Isogeny class |
Conductor |
6666 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-958224168 = -1 · 23 · 34 · 114 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 11- 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-539,4817] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:106:1] |
Generators of the group modulo torsion |
j |
-17319700013617/958224168 |
j-invariant |
L |
5.0202592517908 |
L(r)(E,1)/r! |
Ω |
1.5470720576316 |
Real period |
R |
0.13520861409962 |
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 |
53328t1 19998f1 73326i1 |
Quadratic twists by: -4 -3 -11 |