Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430bf |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
179911065600 = 216 · 33 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1861,-23359] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:95:1] |
Generators of the group modulo torsion |
j |
712815962958289/179911065600 |
j-invariant |
L |
8.5847348353144 |
L(r)(E,1)/r! |
Ω |
0.74036797649571 |
Real period |
R |
0.24156723153925 |
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 |
52290bj1 87150v1 122010ci1 |
Quadratic twists by: -3 5 -7 |