Atkin-Lehner |
2- 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770be |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8666660535000 = 23 · 3 · 54 · 132 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22595,-1301463] |
[a1,a2,a3,a4,a6] |
j |
1275739346897250481/8666660535000 |
j-invariant |
L |
4.6747178303467 |
L(r)(E,1)/r! |
Ω |
0.38955981919556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310j3 83850e3 |
Quadratic twists by: -3 5 |