Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144ba |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
55720288452608 = 226 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 0 4 2 -2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10988,259920] |
[a1,a2,a3,a4,a6] |
j |
559679941521/212556032 |
j-invariant |
L |
3.4384611544799 |
L(r)(E,1)/r! |
Ω |
0.57307685907999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144k1 3536j1 127296dh1 |
Quadratic twists by: -4 8 -3 |