Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698bj |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
62476182020736 = 27 · 32 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11+ -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52393789,-145975783183] |
[a1,a2,a3,a4,a6] |
Generators |
[-1256933668:628678463:300763] |
Generators of the group modulo torsion |
j |
6745730188290441587/26496 |
j-invariant |
L |
9.7403004759562 |
L(r)(E,1)/r! |
Ω |
0.056115082136941 |
Real period |
R |
6.1991867586038 |
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 |
50094n1 16698n1 |
Quadratic twists by: -3 -11 |