Atkin-Lehner |
2+ 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16218g |
Isogeny class |
Conductor |
16218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-2627316 = -1 · 22 · 36 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
-117649/3604 |
j-invariant |
L |
4.0751031528155 |
L(r)(E,1)/r! |
Ω |
2.1394639957945 |
Real period |
R |
0.47618272156318 |
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 |
129744bq1 1802d1 |
Quadratic twists by: -4 -3 |