Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952bc |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-208272384 = -1 · 210 · 38 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -6 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,-681] |
[a1,a2,a3,a4,a6] |
Generators |
[10:27:1] |
Generators of the group modulo torsion |
j |
3114752/203391 |
j-invariant |
L |
5.1882522102201 |
L(r)(E,1)/r! |
Ω |
0.84898068987093 |
Real period |
R |
0.76389431940567 |
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 |
5952i1 1488a1 17856bx1 |
Quadratic twists by: -4 8 -3 |