Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830q |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5465870685000 = 23 · 312 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7920,-244904] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:166:1] [-55:176:1] |
Generators of the group modulo torsion |
j |
75370704203521/7497765000 |
j-invariant |
L |
4.8755717028985 |
L(r)(E,1)/r! |
Ω |
0.50931741760246 |
Real period |
R |
2.3931891657317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bd2 84150fe2 |
Quadratic twists by: -3 5 |