Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14448p |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-946864128 = -1 · 220 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,216,-912] |
[a1,a2,a3,a4,a6] |
Generators |
[29:170:1] |
Generators of the group modulo torsion |
j |
270840023/231168 |
j-invariant |
L |
3.1323307059521 |
L(r)(E,1)/r! |
Ω |
0.86535771371327 |
Real period |
R |
3.619694672289 |
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 |
1806f1 57792cq1 43344be1 101136cy1 |
Quadratic twists by: -4 8 -3 -7 |