Atkin-Lehner |
2+ 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16536b |
Isogeny class |
Conductor |
16536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92352 |
Modular degree for the optimal curve |
Δ |
-29246159075328 = -1 · 211 · 313 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 5 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260744,-51160980] |
[a1,a2,a3,a4,a6] |
Generators |
[723001889848:246306760730329:6229504] |
Generators of the group modulo torsion |
j |
-957278701301286674/14280351111 |
j-invariant |
L |
4.3969863500698 |
L(r)(E,1)/r! |
Ω |
0.10563685198271 |
Real period |
R |
20.811801315272 |
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 |
33072g1 49608m1 |
Quadratic twists by: -4 -3 |