Atkin-Lehner |
3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487d |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
-2255563216179 = -1 · 36 · 77 · 13 · 172 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 2 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-142704,20797013] |
[a1,a2,a3,a4,a6] |
j |
-2731787761881088/19171971 |
j-invariant |
L |
5.8718507647803 |
L(r)(E,1)/r! |
Ω |
0.73398134559785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97461r1 4641e1 |
Quadratic twists by: -3 -7 |