Atkin-Lehner |
2- 3+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39732c |
Isogeny class |
Conductor |
39732 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
717120 |
Modular degree for the optimal curve |
Δ |
-50151841440624 = -1 · 24 · 35 · 73 · 11 · 434 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8645966,9788053089] |
[a1,a2,a3,a4,a6] |
Generators |
[1672:1849:1] |
Generators of the group modulo torsion |
j |
-4467292093996300181426944/3134490090039 |
j-invariant |
L |
4.3753348785254 |
L(r)(E,1)/r! |
Ω |
0.39214514531329 |
Real period |
R |
0.61985762879667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119196n1 |
Quadratic twists by: -3 |