Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448r |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3623885733888 = 218 · 38 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-234648,-43671312] |
[a1,a2,a3,a4,a6] |
Generators |
[1497006:-98249598:343] |
Generators of the group modulo torsion |
j |
348831893748633625/884737728 |
j-invariant |
L |
4.0974624234044 |
L(r)(E,1)/r! |
Ω |
0.21691783055575 |
Real period |
R |
9.4447340103544 |
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 |
1806c2 57792da2 43344bi2 101136cd2 |
Quadratic twists by: -4 8 -3 -7 |