Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dd |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-167667667200 = -1 · 28 · 39 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49575,4248610] |
[a1,a2,a3,a4,a6] |
Generators |
[134:108:1] |
Generators of the group modulo torsion |
j |
-2888047810000/35937 |
j-invariant |
L |
5.6682688110763 |
L(r)(E,1)/r! |
Ω |
0.92688296865612 |
Real period |
R |
1.5288523478033 |
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 |
9900n1 13200cj1 39600ek1 |
Quadratic twists by: -4 -3 5 |