Atkin-Lehner |
2+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960m |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
79910425088000 = 212 · 53 · 132 · 314 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111385,-14264775] |
[a1,a2,a3,a4,a6] |
j |
37311936596468416/19509381125 |
j-invariant |
L |
1.5680410444669 |
L(r)(E,1)/r! |
Ω |
0.26134017754547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128960q2 64480d1 |
Quadratic twists by: -4 8 |