Atkin-Lehner |
3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275b |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27494998171875 = 39 · 56 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7805,84322] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:380:1] [-61:605:1] |
Generators of the group modulo torsion |
j |
170953875/89401 |
j-invariant |
L |
5.7378840094235 |
L(r)(E,1)/r! |
Ω |
0.58554068792522 |
Real period |
R |
2.4498229276545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67275a2 2691a2 |
Quadratic twists by: -3 5 |