Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
22120d |
Isogeny class |
Conductor |
22120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
122323600000000 = 210 · 58 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131683,-18384882] |
[a1,a2,a3,a4,a6] |
Generators |
[2208829462146:34490832978448:4042474857] |
Generators of the group modulo torsion |
j |
246611254081210596/119456640625 |
j-invariant |
L |
4.8095353232172 |
L(r)(E,1)/r! |
Ω |
0.25062809475924 |
Real period |
R |
19.189928917735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44240e2 110600g2 |
Quadratic twists by: -4 5 |