Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938v |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
Δ |
-82010184931464192 = -1 · 210 · 33 · 133 · 675 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -5 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-146507,25594737] |
[a1,a2,a3,a4,a6] |
Generators |
[628:13153:1] |
Generators of the group modulo torsion |
j |
-158295645028290349/37328258958336 |
j-invariant |
L |
14.066345028483 |
L(r)(E,1)/r! |
Ω |
0.3262898997158 |
Real period |
R |
0.14369987180659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67938j2 |
Quadratic twists by: 13 |