Atkin-Lehner |
2+ 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984z |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
544431476736 = 212 · 36 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4457,107415] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:360:1] |
Generators of the group modulo torsion |
j |
2391052454848/132917841 |
j-invariant |
L |
9.4201095318085 |
L(r)(E,1)/r! |
Ω |
0.91025506614841 |
Real period |
R |
1.7248113346319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987422 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81984r2 40992m1 |
Quadratic twists by: -4 8 |