Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22022n |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
833664832 = 26 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13703,616265] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-27:1] |
Generators of the group modulo torsion |
j |
2351729114733625/6889792 |
j-invariant |
L |
8.8624660274938 |
L(r)(E,1)/r! |
Ω |
1.3798830843809 |
Real period |
R |
0.5352184137802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22022j2 |
Quadratic twists by: -11 |