Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900y |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-239779691593750000 = -1 · 24 · 59 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300125,67528125] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3375:1] |
Generators of the group modulo torsion |
j |
-16595712/1331 |
j-invariant |
L |
5.7090702828181 |
L(r)(E,1)/r! |
Ω |
0.30659759890582 |
Real period |
R |
3.1034545515084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900x1 53900z1 |
Quadratic twists by: 5 -7 |