Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bf |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-263272267776 = -1 · 222 · 3 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,-25953] |
[a1,a2,a3,a4,a6] |
j |
-148035889/1004304 |
j-invariant |
L |
4.940648406049 |
L(r)(E,1)/r! |
Ω |
0.41172070611475 |
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 |
81984bn1 2562l1 |
Quadratic twists by: -4 8 |