Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698w |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
8816544 = 25 · 32 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11+ -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:9:1] [-5:13:1] |
Generators of the group modulo torsion |
j |
11697083/6624 |
j-invariant |
L |
7.3974633814428 |
L(r)(E,1)/r! |
Ω |
1.9175965082843 |
Real period |
R |
0.19288373100084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50094l1 16698b1 |
Quadratic twists by: -3 -11 |