Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bz |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
123120 |
Modular degree for the optimal curve |
Δ |
198096279310224 = 24 · 36 · 198 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -4 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20577,912247] |
[a1,a2,a3,a4,a6] |
Generators |
[-2166:38627:27] |
Generators of the group modulo torsion |
j |
4864 |
j-invariant |
L |
5.7022264947897 |
L(r)(E,1)/r! |
Ω |
0.53491648295811 |
Real period |
R |
3.5533437937923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12996j1 5776h1 51984co1 |
Quadratic twists by: -4 -3 -19 |