Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bn |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3554598483394560000 = -1 · 221 · 318 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46668,-90792592] |
[a1,a2,a3,a4,a6] |
Generators |
[3539061:-246243725:729] |
Generators of the group modulo torsion |
j |
-58818484369/18600435000 |
j-invariant |
L |
5.0697618724471 |
L(r)(E,1)/r! |
Ω |
0.1118585217257 |
Real period |
R |
11.330745736295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160dr5 630f5 6720l5 100800cx4 |
Quadratic twists by: -4 8 -3 5 |