Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830cj |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-5009766644520 = -1 · 23 · 36 · 5 · 112 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,688,107291] |
[a1,a2,a3,a4,a6] |
j |
49471280711/6872107880 |
j-invariant |
L |
3.5452072493999 |
L(r)(E,1)/r! |
Ω |
0.59086787489998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1870d1 84150bn1 |
Quadratic twists by: -3 5 |