Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53724d |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.9880122129323E+19 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1591916,-742197432] |
[a1,a2,a3,a4,a6] |
Generators |
[57769950995234377960:-14318055949449142283701:940039990336000] |
Generators of the group modulo torsion |
j |
983758169579344/43835197923 |
j-invariant |
L |
7.8781280478822 |
L(r)(E,1)/r! |
Ω |
0.13477669698965 |
Real period |
R |
29.226595635351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4884b2 |
Quadratic twists by: -11 |