Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096m |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18363241728 = 28 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-852,6732] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:108:1] |
Generators of the group modulo torsion |
j |
267492843088/71731413 |
j-invariant |
L |
7.0693972308819 |
L(r)(E,1)/r! |
Ω |
1.1443434529985 |
Real period |
R |
0.77221104515851 |
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 |
9048c2 72384bx2 54288q2 |
Quadratic twists by: -4 8 -3 |