Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800q |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
92900864000 = 212 · 53 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8993,-324943] |
[a1,a2,a3,a4,a6] |
Generators |
[15267:357236:27] |
Generators of the group modulo torsion |
j |
157114339136/181447 |
j-invariant |
L |
11.46475482161 |
L(r)(E,1)/r! |
Ω |
0.49028600573516 |
Real period |
R |
5.8459525160679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800s2 128800bi2 |
Quadratic twists by: -4 5 |