Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bj |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11984356699564032 = 211 · 39 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-403515,98518518] |
[a1,a2,a3,a4,a6] |
Generators |
[75492:2275155:64] |
Generators of the group modulo torsion |
j |
1532121750/2527 |
j-invariant |
L |
5.3379941458078 |
L(r)(E,1)/r! |
Ω |
0.40142385067955 |
Real period |
R |
6.6488253461791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032b2 9576r2 |
Quadratic twists by: -3 -7 |