Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016k |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.21539280042E+28 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 2 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16619774512,-824615946291380] |
[a1,a2,a3,a4,a6] |
Generators |
[124344620476534530232614420062489155706906821158141774355271618424041795689839128693741736373543221676091057704631695674037758870466211549492191226810119963342475272337360588456501605761932774512992112657666402019894374667361282856127760280354920885463067046336858685542704271040130320024917110931:-57693718669395493859378597482300918388528695115992343284596559700927918896797842065840416928601504706386860061507740506983212101443279684280463654557411439962501579282071875710792948717116448732560296043221528856981395117536568484133666930858911938942226281450060534839919575932404523717006709378670:437803150799470776744663681602552494080595841291520484491941341118593136317843536120998762143047634902705034968516563892335593907474706225048402676393415474205911092177430142755974914610195369581453968064465152899880860300592910430333838579762012600621508214859217463695759422339087187443579] |
Generators of the group modulo torsion |
j |
22997572353926913873314/1909505657886363 |
j-invariant |
L |
6.1024147143834 |
L(r)(E,1)/r! |
Ω |
0.013296747953743 |
Real period |
R |
458.94039171178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032m2 1128d2 |
Quadratic twists by: -4 -47 |