Atkin-Lehner |
3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275l |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
1850688 |
Modular degree for the optimal curve |
Δ |
-179942692435171875 = -1 · 317 · 56 · 113 · 67 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 11+ 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2403808,-1435437581] |
[a1,a2,a3,a4,a6] |
Generators |
[17892766762:1301237669129:3112136] |
Generators of the group modulo torsion |
j |
-98311244861358051328/11516332315851 |
j-invariant |
L |
17.345095200217 |
L(r)(E,1)/r! |
Ω |
0.060623575609777 |
Real period |
R |
16.83008148888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211d1 |
Quadratic twists by: 5 |