Atkin-Lehner |
2+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184k |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
321184667648 = 211 · 134 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1768,-8112] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1122:1] |
Generators of the group modulo torsion |
j |
298597495250/156828451 |
j-invariant |
L |
8.7088761919983 |
L(r)(E,1)/r! |
Ω |
0.78057757905498 |
Real period |
R |
2.7892410777198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592e2 |
Quadratic twists by: -4 |