Atkin-Lehner |
2+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650q |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-142157639680000 = -1 · 215 · 54 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6651,-611002] |
[a1,a2,a3,a4,a6] |
j |
-52048793815225/227452223488 |
j-invariant |
L |
1.4412297365362 |
L(r)(E,1)/r! |
Ω |
0.24020495608936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650t2 |
Quadratic twists by: 5 |