Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17808q |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
72941568 = 216 · 3 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392,-2832] |
[a1,a2,a3,a4,a6] |
Generators |
[-668:235:64] |
Generators of the group modulo torsion |
j |
1630532233/17808 |
j-invariant |
L |
5.1838919164301 |
L(r)(E,1)/r! |
Ω |
1.0734265476895 |
Real period |
R |
4.8292935623663 |
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 |
2226e1 71232dj1 53424bx1 124656dn1 |
Quadratic twists by: -4 8 -3 -7 |