Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448t |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2465796816 = 24 · 35 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27797,-1774560] |
[a1,a2,a3,a4,a6] |
Generators |
[1504976:21051940:4913] |
Generators of the group modulo torsion |
j |
148461257362505728/154112301 |
j-invariant |
L |
4.7062402957824 |
L(r)(E,1)/r! |
Ω |
0.36974201014502 |
Real period |
R |
8.485629018166 |
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 |
3612f1 57792df1 43344bm1 101136cl1 |
Quadratic twists by: -4 8 -3 -7 |