Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
14112br |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
4 |
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 |
[722:18738:1] |
Generators of the group modulo torsion |
j |
-1668296/27 |
j-invariant |
L |
3.4213727942125 |
L(r)(E,1)/r! |
Ω |
0.17844641399505 |
Real period |
R |
4.7932775974801 |
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 |
14112bs1 28224ev1 4704j1 14112ce1 |
Quadratic twists by: -4 8 -3 -7 |