Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430c |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-160634880 = -1 · 211 · 33 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5603,159117] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-19:1] |
Generators of the group modulo torsion |
j |
-19458380202497209/160634880 |
j-invariant |
L |
2.8077700820192 |
L(r)(E,1)/r! |
Ω |
1.6345829732561 |
Real period |
R |
1.7177286977522 |
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 |
52290ck1 87150cj1 122010ba1 |
Quadratic twists by: -3 5 -7 |