Atkin-Lehner |
3- 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54873i |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1210880 |
Modular degree for the optimal curve |
Δ |
3.3489100843855E+20 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2213352,-911130557] |
[a1,a2,a3,a4,a6] |
Generators |
[-43756:1096973:64] [4129554:84896267:2197] |
Generators of the group modulo torsion |
j |
1644931268752571178625/459384099367011273 |
j-invariant |
L |
11.495144064633 |
L(r)(E,1)/r! |
Ω |
0.12638923089347 |
Real period |
R |
90.950344292599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18291a1 |
Quadratic twists by: -3 |