Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400w |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-16367616000000 = -1 · 220 · 33 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6192,50112] |
[a1,a2,a3,a4,a6] |
Generators |
[2:250:1] [17:400:1] |
Generators of the group modulo torsion |
j |
410172407/255744 |
j-invariant |
L |
8.1369265185323 |
L(r)(E,1)/r! |
Ω |
0.43080303445152 |
Real period |
R |
4.7219528809095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bf1 1776j1 |
Quadratic twists by: -4 5 |