Atkin-Lehner |
2- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040p |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
256256000 = 211 · 53 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5338667,-4747854074] |
[a1,a2,a3,a4,a6] |
j |
8216602123265632096002/125125 |
j-invariant |
L |
1.1918527217396 |
L(r)(E,1)/r! |
Ω |
0.099321060148117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080s4 |
Quadratic twists by: -4 |