Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430bp |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
1848 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
2239314172733030400 = 222 · 37 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1174555,484540625] |
[a1,a2,a3,a4,a6] |
Generators |
[542:2417:1] |
Generators of the group modulo torsion |
j |
179202394806540142428721/2239314172733030400 |
j-invariant |
L |
9.8077803045024 |
L(r)(E,1)/r! |
Ω |
0.26056540728386 |
Real period |
R |
0.081472678661945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290z1 87150f1 122010bu1 |
Quadratic twists by: -3 5 -7 |