Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67146g |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
44654814369449136 = 24 · 32 · 199 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-572012,165966941] |
[a1,a2,a3,a4,a6] |
Generators |
[413:413:1] |
Generators of the group modulo torsion |
j |
64144108027/138384 |
j-invariant |
L |
8.5242320403582 |
L(r)(E,1)/r! |
Ω |
0.36046979226282 |
Real period |
R |
2.9559453466544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67146c2 |
Quadratic twists by: -19 |