Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830z |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
52861042713600 = 210 · 310 · 52 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47574,-3966732] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:174:1] |
Generators of the group modulo torsion |
j |
16334668434139489/72511718400 |
j-invariant |
L |
3.017349151815 |
L(r)(E,1)/r! |
Ω |
0.32334988401901 |
Real period |
R |
2.3328825066453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610bj2 84150fi2 |
Quadratic twists by: -3 5 |