Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14652d |
Isogeny class |
Conductor |
14652 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
52219728 = 24 · 36 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,-567] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:1] |
Generators of the group modulo torsion |
j |
28311552/4477 |
j-invariant |
L |
5.5582717690581 |
L(r)(E,1)/r! |
Ω |
1.3928933844515 |
Real period |
R |
0.6650750434436 |
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 |
58608bj1 1628a1 |
Quadratic twists by: -4 -3 |