Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22308f |
Isogeny class |
Conductor |
22308 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
1296603196924031568 = 24 · 36 · 116 · 137 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1297374693,-17986915270908] |
[a1,a2,a3,a4,a6] |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
2.7167955336204 |
L(r)(E,1)/r! |
Ω |
0.025155514200189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232x3 66924h3 1716b3 |
Quadratic twists by: -4 -3 13 |