Atkin-Lehner |
3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487l |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3042050193 = 32 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26412,-1654353] |
[a1,a2,a3,a4,a6] |
Generators |
[-644271:331938:6859] |
Generators of the group modulo torsion |
j |
17319700013617/25857 |
j-invariant |
L |
5.4567007452141 |
L(r)(E,1)/r! |
Ω |
0.37449772672391 |
Real period |
R |
7.2853589699319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461m1 663b1 |
Quadratic twists by: -3 -7 |