Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
156a |
Isogeny class |
Conductor |
156 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12 |
Modular degree for the optimal curve |
Δ |
1872 = 24 · 32 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
1048576/117 |
j-invariant |
L |
1.003503055032 |
L(r)(E,1)/r! |
Ω |
4.5382403755029 |
Real period |
R |
0.14741441204816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
624j1 2496l1 468e1 3900h1 |
Quadratic twists by: -4 8 -3 5 |