Atkin-Lehner |
3+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5727a |
Isogeny class |
Conductor |
5727 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
43471204715781 = 316 · 233 · 83 |
Discriminant |
Eigenvalues |
-2 3+ -1 -4 6 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-145226,21347840] |
[a1,a2,a3,a4,a6] |
Generators |
[338:3280:1] |
Generators of the group modulo torsion |
j |
338734810302676332544/43471204715781 |
j-invariant |
L |
1.255517567399 |
L(r)(E,1)/r! |
Ω |
0.61765859606333 |
Real period |
R |
1.0163523792926 |
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 |
91632x1 17181j1 |
Quadratic twists by: -4 -3 |