Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14448o |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
45854320435789824 = 217 · 319 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 6 1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102760,7424368] |
[a1,a2,a3,a4,a6] |
Generators |
[68:864:1] |
Generators of the group modulo torsion |
j |
29298155334152041/11194902450144 |
j-invariant |
L |
4.5080590960529 |
L(r)(E,1)/r! |
Ω |
0.32737580383688 |
Real period |
R |
3.442571994645 |
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 |
1806e1 57792cp1 43344bd1 101136cx1 |
Quadratic twists by: -4 8 -3 -7 |