Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280bb |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1057187014416000000 = 210 · 34 · 56 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-827480,285193728] |
[a1,a2,a3,a4,a6] |
j |
12677589459076/213890625 |
j-invariant |
L |
3.321981296163 |
L(r)(E,1)/r! |
Ω |
0.27683177468025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560h2 60840f2 101400b2 1560c2 |
Quadratic twists by: -4 -3 5 13 |