Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698bd |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-261264033904896 = -1 · 28 · 32 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 11- 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2967,-781395] |
[a1,a2,a3,a4,a6] |
Generators |
[655:16370:1] |
Generators of the group modulo torsion |
j |
-13475473/1218816 |
j-invariant |
L |
5.1548237622818 |
L(r)(E,1)/r! |
Ω |
0.24414197231709 |
Real period |
R |
0.21993793343884 |
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 |
50094be1 16698g1 |
Quadratic twists by: -3 -11 |