Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41272o |
Isogeny class |
Conductor |
41272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
88788288512 = 210 · 76 · 11 · 67 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15608,745216] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:1120:1] [64:112:1] |
Generators of the group modulo torsion |
j |
410670351062500/86707313 |
j-invariant |
L |
6.5901304021093 |
L(r)(E,1)/r! |
Ω |
1.0449055781774 |
Real period |
R |
2.1023049162663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82544g2 |
Quadratic twists by: -4 |