Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698bk |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
51744 |
Modular degree for the optimal curve |
Δ |
-694144142208 = -1 · 27 · 311 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 11+ -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12075,511281] |
[a1,a2,a3,a4,a6] |
Generators |
[120:-951:1] |
Generators of the group modulo torsion |
j |
-146288208975371/521520768 |
j-invariant |
L |
5.9619420001407 |
L(r)(E,1)/r! |
Ω |
0.90927334325094 |
Real period |
R |
0.042576755800856 |
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 |
50094o1 16698o1 |
Quadratic twists by: -3 -11 |