Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5985i |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20785156875 = -1 · 36 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,682,856] |
[a1,a2,a3,a4,a6] |
Generators |
[11:92:1] |
Generators of the group modulo torsion |
j |
48188806119/28511875 |
j-invariant |
L |
2.2788987964762 |
L(r)(E,1)/r! |
Ω |
0.73863673605717 |
Real period |
R |
1.542638407508 |
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 |
95760dn3 665b4 29925be3 41895bl3 |
Quadratic twists by: -4 -3 5 -7 |