Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bp |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32480 |
Modular degree for the optimal curve |
Δ |
-1824436224 = -1 · 212 · 36 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,2160] |
[a1,a2,a3,a4,a6] |
j |
-110592/611 |
j-invariant |
L |
1.284828041244 |
L(r)(E,1)/r! |
Ω |
1.2848280152042 |
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 |
5499j1 9776d1 |
Quadratic twists by: -4 -3 |