Atkin-Lehner |
2- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576j |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
59408384 = 215 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 0 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1569,24449] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:147:1] |
Generators of the group modulo torsion |
j |
13044257864/1813 |
j-invariant |
L |
6.0890129070676 |
L(r)(E,1)/r! |
Ω |
1.9060876535644 |
Real period |
R |
3.1945083405168 |
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 |
16576u2 8288c2 116032bt2 |
Quadratic twists by: -4 8 -7 |