Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cn |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
18969600 |
Modular degree for the optimal curve |
Δ |
3.072218968602E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1424025138,20682933476031] |
[a1,a2,a3,a4,a6] |
Generators |
[21285:-138393:1] |
Generators of the group modulo torsion |
j |
163510874301405582957720077/1572976111924224 |
j-invariant |
L |
8.7466704779455 |
L(r)(E,1)/r! |
Ω |
0.099223008921289 |
Real period |
R |
2.9383878373176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55650bf1 |
Quadratic twists by: 5 |