Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dg |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
75076175360102400 = 212 · 38 · 52 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-284080,56673428] |
[a1,a2,a3,a4,a6] |
Generators |
[178:3432:1] |
Generators of the group modulo torsion |
j |
618995185061033521/18329144375025 |
j-invariant |
L |
9.0421747320927 |
L(r)(E,1)/r! |
Ω |
0.34307089912896 |
Real period |
R |
3.2945721844717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994659 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
5115e3 |
Quadratic twists by: -4 |