Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cn |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1997392783260672 = 210 · 38 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74235,-7482202] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:196:1] |
Generators of the group modulo torsion |
j |
515150500/22743 |
j-invariant |
L |
4.7060151130273 |
L(r)(E,1)/r! |
Ω |
0.29002227035267 |
Real period |
R |
2.028299028461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344g2 9576t2 |
Quadratic twists by: -3 -7 |