Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382d |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-149112576 = -1 · 28 · 36 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,102,-460] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
160103007/204544 |
j-invariant |
L |
2.4893317079736 |
L(r)(E,1)/r! |
Ω |
0.97821286121849 |
Real period |
R |
2.544775075716 |
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 |
115056r1 1598b1 |
Quadratic twists by: -4 -3 |