Atkin-Lehner |
2- 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31992j |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
1259397072 = 24 · 310 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-363,1926] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:27:1] |
Generators of the group modulo torsion |
j |
331527424000/78712317 |
j-invariant |
L |
5.7210306593904 |
L(r)(E,1)/r! |
Ω |
1.439966008435 |
Real period |
R |
0.79460634846625 |
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 |
63984f1 95976b1 |
Quadratic twists by: -4 -3 |