Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22022i |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3260786229025E+20 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3786536,2782334880] |
[a1,a2,a3,a4,a6] |
j |
3389174547561866673/74853681183008 |
j-invariant |
L |
2.215470227525 |
L(r)(E,1)/r! |
Ω |
0.18462251896041 |
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 |
182a3 |
Quadratic twists by: -11 |