Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144ce |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
237646707199147008 = 210 · 36 · 712 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165963,-11274410] |
[a1,a2,a3,a4,a6] |
Generators |
[71895:1142492:125] |
Generators of the group modulo torsion |
j |
5756278756/2705927 |
j-invariant |
L |
8.7518475552317 |
L(r)(E,1)/r! |
Ω |
0.24760494340515 |
Real period |
R |
8.8365032551882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016e2 11592s2 |
Quadratic twists by: -3 -7 |