Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128271n |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.882860979696E+19 |
Discriminant |
Eigenvalues |
1 3+ -4 -2 11- 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-695050697,-7053272628930] |
[a1,a2,a3,a4,a6] |
Generators |
[-253585390337642:125675684683659:16659527464] |
Generators of the group modulo torsion |
j |
7693306744841411288190049/5972602147083 |
j-invariant |
L |
3.2712446335456 |
L(r)(E,1)/r! |
Ω |
0.029403256588764 |
Real period |
R |
13.906813591052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999992869601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867d2 |
Quadratic twists by: 13 |