Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144bd |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
192803766272 = 226 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3489,77633] |
[a1,a2,a3,a4,a6] |
j |
17923019113/735488 |
j-invariant |
L |
1.9960842219812 |
L(r)(E,1)/r! |
Ω |
0.9980421109906 |
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 |
14144o1 3536k1 127296cz1 |
Quadratic twists by: -4 8 -3 |