Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110bq |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7265280 |
Modular degree for the optimal curve |
Δ |
2.3122552445902E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10410056,-12723533547] |
[a1,a2,a3,a4,a6] |
Generators |
[-1040248:3962363:512] |
Generators of the group modulo torsion |
j |
4810121654971369/89147449300 |
j-invariant |
L |
5.8669947143632 |
L(r)(E,1)/r! |
Ω |
0.084144355898298 |
Real period |
R |
8.7156687846964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110v1 |
Quadratic twists by: -11 |