Atkin-Lehner |
3- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5727g |
Isogeny class |
Conductor |
5727 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
2543404608909 = 32 · 237 · 83 |
Discriminant |
Eigenvalues |
2 3- 1 -2 -4 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4830,-105577] |
[a1,a2,a3,a4,a6] |
Generators |
[2698:48485:8] |
Generators of the group modulo torsion |
j |
12463930461270016/2543404608909 |
j-invariant |
L |
8.4999195169347 |
L(r)(E,1)/r! |
Ω |
0.58087711297579 |
Real period |
R |
7.3164524191617 |
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 |
91632l1 17181h1 |
Quadratic twists by: -4 -3 |