Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14448n |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-16596665180928 = -1 · 28 · 32 · 72 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 1 -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5173,-241031] |
[a1,a2,a3,a4,a6] |
Generators |
[105:602:1] |
Generators of the group modulo torsion |
j |
-59812937728000/64830723363 |
j-invariant |
L |
3.7501274826842 |
L(r)(E,1)/r! |
Ω |
0.26993164443057 |
Real period |
R |
0.34732195724914 |
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 |
3612g1 57792co1 43344bb1 101136ct1 |
Quadratic twists by: -4 8 -3 -7 |