Atkin-Lehner |
2- 3+ 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bl |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-5.8613398166586E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,287065,363486431] |
[a1,a2,a3,a4,a6] |
Generators |
[525:25402:1] |
Generators of the group modulo torsion |
j |
96895163797517566125/2170866598762459136 |
j-invariant |
L |
9.3840210062794 |
L(r)(E,1)/r! |
Ω |
0.14812956689373 |
Real period |
R |
3.9593804601349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002816 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
81774g4 |
Quadratic twists by: -3 |