Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900k |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2840893932800 = -1 · 28 · 52 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 6 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,-80732] |
[a1,a2,a3,a4,a6] |
Generators |
[2784:28126:27] |
Generators of the group modulo torsion |
j |
80/11 |
j-invariant |
L |
7.4077072875121 |
L(r)(E,1)/r! |
Ω |
0.38071657472917 |
Real period |
R |
3.2428792524224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900bg1 53900l1 |
Quadratic twists by: 5 -7 |