Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5985j |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2158808203125 = 37 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-364005,84620700] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:11310:1] |
Generators of the group modulo torsion |
j |
7316761561829228881/2961328125 |
j-invariant |
L |
4.621123987666 |
L(r)(E,1)/r! |
Ω |
0.66904458199489 |
Real period |
R |
1.7267623533723 |
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 |
95760dj6 1995h5 29925r6 41895bt6 |
Quadratic twists by: -4 -3 5 -7 |