Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bq |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11299009960000000 = -1 · 29 · 57 · 710 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45325,-3515750] |
[a1,a2,a3,a4,a6] |
Generators |
[2727334710:55740959450:8869743] |
Generators of the group modulo torsion |
j |
10941048/12005 |
j-invariant |
L |
6.6038686764695 |
L(r)(E,1)/r! |
Ω |
0.21793709334358 |
Real period |
R |
15.150859762217 |
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 |
39200g2 78400x3 7840h4 5600k4 |
Quadratic twists by: -4 8 5 -7 |