Atkin-Lehner |
17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
47753f |
Isogeny class |
Conductor |
47753 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
376794139193 = 17 · 536 |
Discriminant |
Eigenvalues |
1 0 2 4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254741,-49423960] |
[a1,a2,a3,a4,a6] |
j |
82483294977/17 |
j-invariant |
L |
3.4001239581187 |
L(r)(E,1)/r! |
Ω |
0.21250774742138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17a3 |
Quadratic twists by: 53 |