Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640r |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8520192000 = -1 · 212 · 32 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,495,-1503] |
[a1,a2,a3,a4,a6] |
Generators |
[9:60:1] |
Generators of the group modulo torsion |
j |
3268147904/2080125 |
j-invariant |
L |
3.9620711813398 |
L(r)(E,1)/r! |
Ω |
0.74942001926456 |
Real period |
R |
0.44057082805047 |
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 |
20640l2 41280bi1 61920n2 103200bc2 |
Quadratic twists by: -4 8 -3 5 |