Atkin-Lehner |
2+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144m |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
21510423314432 = 218 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 -6 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46892,3902000] |
[a1,a2,a3,a4,a6] |
Generators |
[88:676:1] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
2.0733419713554 |
L(r)(E,1)/r! |
Ω |
0.68059910449248 |
Real period |
R |
0.50772472802998 |
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 |
14144bb1 221a1 127296bf1 |
Quadratic twists by: -4 8 -3 |