Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490u |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-43426757812500 = -1 · 22 · 36 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8782,10981] |
[a1,a2,a3,a4,a6] |
j |
102759703687719/59570312500 |
j-invariant |
L |
3.0808323987637 |
L(r)(E,1)/r! |
Ω |
0.38510404984546 |
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 |
43920bq3 610b4 27450t3 |
Quadratic twists by: -4 -3 5 |