Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cx |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.323135E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13986075,-20131469750] |
[a1,a2,a3,a4,a6] |
Generators |
[-10593737:4128138:4913] |
Generators of the group modulo torsion |
j |
6484907238722641/283593750 |
j-invariant |
L |
6.1209163082275 |
L(r)(E,1)/r! |
Ω |
0.078068661080665 |
Real period |
R |
9.8005336320239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950bi5 13200cg5 7920z5 |
Quadratic twists by: -4 -3 5 |