Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830b |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-2956896360000000 = -1 · 29 · 33 · 57 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17580,2453200] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1019:1] |
Generators of the group modulo torsion |
j |
22253722294800933/109514680000000 |
j-invariant |
L |
3.1094270017021 |
L(r)(E,1)/r! |
Ω |
0.32425332286146 |
Real period |
R |
4.7947496331913 |
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 |
16830bt1 84150dx1 |
Quadratic twists by: -3 5 |