Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cv |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
427225640625000000 = 26 · 34 · 512 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-348963,-72875583] |
[a1,a2,a3,a4,a6] |
Generators |
[-408:1479:1] |
Generators of the group modulo torsion |
j |
300775120462810729/27342441000000 |
j-invariant |
L |
14.322655515068 |
L(r)(E,1)/r! |
Ω |
0.19757090232074 |
Real period |
R |
3.0205728994589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999759 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430a2 |
Quadratic twists by: 5 |