Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900g |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-673750000 = -1 · 24 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,175,-875] |
[a1,a2,a3,a4,a6] |
Generators |
[60:475:1] |
Generators of the group modulo torsion |
j |
48384/55 |
j-invariant |
L |
4.5172462169902 |
L(r)(E,1)/r! |
Ω |
0.86950393159654 |
Real period |
R |
2.5975996501216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780d1 53900a1 |
Quadratic twists by: 5 -7 |