Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bw |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-304822477806206976 = -1 · 215 · 37 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-774846,-263672172] |
[a1,a2,a3,a4,a6] |
Generators |
[199372158:539266509:195112] |
Generators of the group modulo torsion |
j |
-16591834777/98304 |
j-invariant |
L |
4.5300388103961 |
L(r)(E,1)/r! |
Ω |
0.080428852415002 |
Real period |
R |
14.080888539041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574cm2 106722do2 882h2 |
Quadratic twists by: -3 -7 -11 |