Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14448p |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
137014198272 = 214 · 34 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14824,-689552] |
[a1,a2,a3,a4,a6] |
Generators |
[154:810:1] |
Generators of the group modulo torsion |
j |
87960822051817/33450732 |
j-invariant |
L |
3.1323307059521 |
L(r)(E,1)/r! |
Ω |
0.43267885685663 |
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 |
1806f4 57792cq4 43344be4 101136cy4 |
Quadratic twists by: -4 8 -3 -7 |