Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714n |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
5.3664639670917E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1730930,-802114959] |
[a1,a2,a3,a4,a6] |
Generators |
[-601:4863:1] |
Generators of the group modulo torsion |
j |
162995025390625/15251079168 |
j-invariant |
L |
10.416273022016 |
L(r)(E,1)/r! |
Ω |
0.13241179065911 |
Real period |
R |
2.4583047349255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238a1 3978a1 |
Quadratic twists by: -3 13 |