Atkin-Lehner |
3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32487i |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-4706051648571 = -1 · 32 · 77 · 133 · 172 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- -6 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-702,104852] |
[a1,a2,a3,a4,a6] |
Generators |
[96:955:1] [47:416:1] |
Generators of the group modulo torsion |
j |
-325660672/40000779 |
j-invariant |
L |
3.0125090983707 |
L(r)(E,1)/r! |
Ω |
0.6329150308442 |
Real period |
R |
0.099161187770099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97461s1 4641f1 |
Quadratic twists by: -3 -7 |