Atkin-Lehner |
2+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184j |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
549244786688 = 211 · 132 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 4 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137099,19538842] |
[a1,a2,a3,a4,a6] |
Generators |
[439:6630:1] |
Generators of the group modulo torsion |
j |
139154296797790146/268185931 |
j-invariant |
L |
5.9834054961594 |
L(r)(E,1)/r! |
Ω |
0.79240505111803 |
Real period |
R |
3.7754715775953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33592l4 |
Quadratic twists by: -4 |