Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bk |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3785558672474788608 = -1 · 28 · 39 · 78 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107351,458178714] |
[a1,a2,a3,a4,a6] |
Generators |
[105:18522:1] |
Generators of the group modulo torsion |
j |
-253314541296/6385729 |
j-invariant |
L |
5.5226468643307 |
L(r)(E,1)/r! |
Ω |
0.24807636972672 |
Real period |
R |
1.3913676234799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032c2 9576s2 |
Quadratic twists by: -3 -7 |