Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120bx |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
162336796160000 = 212 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43136,3379060] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:686:1] [-68:2450:1] |
Generators of the group modulo torsion |
j |
18420660721/336875 |
j-invariant |
L |
6.2723003800328 |
L(r)(E,1)/r! |
Ω |
0.57509337184245 |
Real period |
R |
2.7266443533935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2695b2 6160l2 |
Quadratic twists by: -4 -7 |