Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bm |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
5.2674495975346E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4445477,-907037055] |
[a1,a2,a3,a4,a6] |
j |
82582985847542515777/44772582831427584 |
j-invariant |
L |
5.3208029247745 |
L(r)(E,1)/r! |
Ω |
0.1108500609328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39984bv2 14994bi2 124950ba2 714g2 |
Quadratic twists by: -4 -3 5 -7 |