Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5168c |
Isogeny class |
Conductor |
5168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1439432704 = 218 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 2 2 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103771,-12866550] |
[a1,a2,a3,a4,a6] |
j |
30171143454741297/351424 |
j-invariant |
L |
1.0639973488656 |
L(r)(E,1)/r! |
Ω |
0.26599933721641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646d2 20672y2 46512ba2 129200bt2 |
Quadratic twists by: -4 8 -3 5 |