Atkin-Lehner |
2+ 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984z |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
129579319296 = 215 · 33 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70337,7156575] |
[a1,a2,a3,a4,a6] |
Generators |
[178:555:1] |
Generators of the group modulo torsion |
j |
1174441730894216/3954447 |
j-invariant |
L |
9.4201095318085 |
L(r)(E,1)/r! |
Ω |
0.91025506614841 |
Real period |
R |
3.4496226692638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81984r4 40992m4 |
Quadratic twists by: -4 8 |