Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5256j |
Isogeny class |
Conductor |
5256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
122611968 = 28 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,1474] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:54:1] |
Generators of the group modulo torsion |
j |
9826000/657 |
j-invariant |
L |
3.6989848478211 |
L(r)(E,1)/r! |
Ω |
1.8255855780889 |
Real period |
R |
0.50654771984085 |
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 |
10512b1 42048b1 1752b1 |
Quadratic twists by: -4 8 -3 |