Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576x |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12960921616384 = -1 · 216 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -2 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1503,-172255] |
[a1,a2,a3,a4,a6] |
j |
48668/1681 |
j-invariant |
L |
5.4640919353682 |
L(r)(E,1)/r! |
Ω |
0.34150575999718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576cl2 16072c2 2624c2 |
Quadratic twists by: -4 8 -7 |