Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586p |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.7274216004788E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-381658041,2869879323757] |
[a1,a2,a3,a4,a6] |
j |
4760617885089919932457/133756441657344 |
j-invariant |
L |
3.0247638189536 |
L(r)(E,1)/r! |
Ω |
0.094523871528255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26862o2 7326i2 |
Quadratic twists by: -3 -11 |