Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8820i |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2017219165920000 = -1 · 28 · 37 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8232,-2141692] |
[a1,a2,a3,a4,a6] |
Generators |
[784:22050:1] |
Generators of the group modulo torsion |
j |
57344/1875 |
j-invariant |
L |
4.2341021605527 |
L(r)(E,1)/r! |
Ω |
0.22444357658313 |
Real period |
R |
0.26201228543664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280ds1 2940d1 44100z1 8820x1 |
Quadratic twists by: -4 -3 5 -7 |