Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032w |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
61725888 = 26 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,-28296] |
[a1,a2,a3,a4,a6] |
Generators |
[530:3059:8] |
Generators of the group modulo torsion |
j |
474552000/49 |
j-invariant |
L |
3.6276066051341 |
L(r)(E,1)/r! |
Ω |
0.7376204780731 |
Real period |
R |
4.9179852145788 |
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 |
4032r1 2016b2 4032v1 100800jg1 |
Quadratic twists by: -4 8 -3 5 |