Atkin-Lehner |
2+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184l |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-501366780928 = -1 · 210 · 13 · 172 · 194 |
Discriminant |
Eigenvalues |
2+ -2 0 0 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1768,-45084] |
[a1,a2,a3,a4,a6] |
Generators |
[1751:73270:1] |
Generators of the group modulo torsion |
j |
-597194990500/489615997 |
j-invariant |
L |
4.3157683550763 |
L(r)(E,1)/r! |
Ω |
0.35570684718966 |
Real period |
R |
6.0664679202164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592d2 |
Quadratic twists by: -4 |