Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bq |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4117715000000000 = 29 · 510 · 77 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101675,12090750] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:4950:1] |
Generators of the group modulo torsion |
j |
123505992/4375 |
j-invariant |
L |
6.6038686764695 |
L(r)(E,1)/r! |
Ω |
0.43587418668717 |
Real period |
R |
3.7877149405544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39200g3 78400x4 7840h3 5600k2 |
Quadratic twists by: -4 8 5 -7 |