Atkin-Lehner |
7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811j |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
3838855542071333 = 79 · 175 · 67 |
Discriminant |
Eigenvalues |
-2 2 2 7- 1 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43332,1794274] |
[a1,a2,a3,a4,a6] |
Generators |
[1738:12863:8] |
Generators of the group modulo torsion |
j |
222985990144/95130419 |
j-invariant |
L |
5.5834394814197 |
L(r)(E,1)/r! |
Ω |
0.39852831578659 |
Real period |
R |
7.005072488436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55811p1 |
Quadratic twists by: -7 |