Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744ch |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-419997759025152 = -1 · 212 · 3 · 710 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6403,-963957] |
[a1,a2,a3,a4,a6] |
j |
25088/363 |
j-invariant |
L |
4.1560266482385 |
L(r)(E,1)/r! |
Ω |
0.25975166555313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51744s1 103488bz1 51744bs1 |
Quadratic twists by: -4 8 -7 |