Atkin-Lehner |
2- 3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bk |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-3258601242624 = -1 · 216 · 33 · 74 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7088,247315] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:-655:1] [-53:713:1] |
Generators of the group modulo torsion |
j |
-1458389843101827/120688934912 |
j-invariant |
L |
15.750475392558 |
L(r)(E,1)/r! |
Ω |
0.77956058881366 |
Real period |
R |
0.15784608761633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642g1 |
Quadratic twists by: -3 |