Atkin-Lehner |
2- 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650dd |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
10329310350000000 = 27 · 38 · 58 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-400338,97340292] |
[a1,a2,a3,a4,a6] |
Generators |
[792:16254:1] [-4986:84411:8] |
Generators of the group modulo torsion |
j |
454134190048463449/661075862400 |
j-invariant |
L |
18.680492019401 |
L(r)(E,1)/r! |
Ω |
0.40599090319809 |
Real period |
R |
0.41082227719811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530d2 |
Quadratic twists by: 5 |