Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112bs |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-58095911978496 = -1 · 29 · 39 · 78 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -1 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31899,2223326] |
[a1,a2,a3,a4,a6] |
Generators |
[49:882:1] |
Generators of the group modulo torsion |
j |
-1668296/27 |
j-invariant |
L |
3.3568223555267 |
L(r)(E,1)/r! |
Ω |
0.62727874177908 |
Real period |
R |
0.44595038483292 |
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 |
14112br1 28224eu1 4704c1 14112cf1 |
Quadratic twists by: -4 8 -3 -7 |