Atkin-Lehner |
3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32487f |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
83539378377 = 33 · 77 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 4 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2230,-39017] |
[a1,a2,a3,a4,a6] |
Generators |
[-486122:1114651:17576] |
Generators of the group modulo torsion |
j |
10431681625/710073 |
j-invariant |
L |
5.9287335527355 |
L(r)(E,1)/r! |
Ω |
0.69767553035111 |
Real period |
R |
8.4978378842546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461i1 4641d1 |
Quadratic twists by: -3 -7 |