Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16473b |
Isogeny class |
Conductor |
16473 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1333190348577 = 32 · 177 · 192 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 -2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2751,-936] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:240:1] |
Generators of the group modulo torsion |
j |
95443993/55233 |
j-invariant |
L |
3.0678635421059 |
L(r)(E,1)/r! |
Ω |
0.72442988378111 |
Real period |
R |
2.1174330399606 |
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 |
49419a1 969a1 |
Quadratic twists by: -3 17 |