Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16100d |
Isogeny class |
Conductor |
16100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-13805750000 = -1 · 24 · 56 · 74 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,142,-5663] |
[a1,a2,a3,a4,a6] |
Generators |
[32:175:1] |
Generators of the group modulo torsion |
j |
1257728/55223 |
j-invariant |
L |
3.7136890384612 |
L(r)(E,1)/r! |
Ω |
0.60187393522266 |
Real period |
R |
0.25709211549753 |
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 |
64400bk1 644a1 112700f1 |
Quadratic twists by: -4 5 -7 |