Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512l |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-10425397248 = -1 · 212 · 34 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,5040] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:72:1] |
Generators of the group modulo torsion |
j |
-128787625/2545263 |
j-invariant |
L |
3.9900754956848 |
L(r)(E,1)/r! |
Ω |
1.0806346315268 |
Real period |
R |
0.923086161427 |
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 |
1407e1 90048bm1 67536bq1 |
Quadratic twists by: -4 8 -3 |