Atkin-Lehner |
2+ 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984b |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
40023569664 = 28 · 39 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 3 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,6588] |
[a1,a2,a3,a4,a6] |
j |
20155392/7943 |
j-invariant |
L |
4.1772177355349 |
L(r)(E,1)/r! |
Ω |
1.0443044443282 |
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 |
43992g1 87984a1 |
Quadratic twists by: -4 -3 |