Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974bf |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.6679724931148E+31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50783183354,4387241401420205] |
[a1,a2,a3,a4,a6] |
Generators |
[303123922603492973511319881773384994296191735304814527850299308392078588340289751632070763963520372:-1347850736262527761859698209688501800174763579997638100980946970265305070932399893638491411475954697053:15332697023336569561652099050667574747485685847755150780337472124461500466645278004726750272] |
Generators of the group modulo torsion |
j |
358922856699047401883242536151/1652385744133061091878646 |
j-invariant |
L |
6.0664416822294 |
L(r)(E,1)/r! |
Ω |
0.019669463331445 |
Real period |
R |
154.20963907366 |
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 |
64974cg2 |
Quadratic twists by: -7 |