Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1116a |
Isogeny class |
Conductor |
1116 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-361584 = -1 · 24 · 36 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -6 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153,729] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-9:1] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
2.4944791215006 |
L(r)(E,1)/r! |
Ω |
3.0044661274886 |
Real period |
R |
0.1383761715422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4464w1 17856k1 124b1 27900f1 |
Quadratic twists by: -4 8 -3 5 |