Atkin-Lehner |
2- 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370bh |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-244824830370000 = -1 · 24 · 310 · 54 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4567,-744519] |
[a1,a2,a3,a4,a6] |
j |
14453677700279/335836530000 |
j-invariant |
L |
4.3064619488363 |
L(r)(E,1)/r! |
Ω |
0.26915387180512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14790f1 |
Quadratic twists by: -3 |