Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040u |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
Δ |
4.6231409372159E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66417660,180820341900] |
[a1,a2,a3,a4,a6] |
j |
126571074009076580447874256/18059144285999619140625 |
j-invariant |
L |
5.1968990682143 |
L(r)(E,1)/r! |
Ω |
0.074241415466476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44520d2 |
Quadratic twists by: -4 |