Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050c |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1.235026508228E+23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2520325,-16979197875] |
[a1,a2,a3,a4,a6] |
Generators |
[816410175354106096698685266740434564212270916491208770627810305035574802032248257:-90310962756779230709294598888152731370057522967297981440101773973294441174406812914:65641141190285538748271993653514715232590028656657489678361647370406643485407] |
Generators of the group modulo torsion |
j |
-181298236675437025/12646671444254848 |
j-invariant |
L |
5.8711010540231 |
L(r)(E,1)/r! |
Ω |
0.04605621180955 |
Real period |
R |
127.47685541966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050ce2 |
Quadratic twists by: 5 |