Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832u |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
21510598754304 = 216 · 36 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8129,-175329] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:192:1] |
Generators of the group modulo torsion |
j |
906585098692/328225689 |
j-invariant |
L |
5.5044500713286 |
L(r)(E,1)/r! |
Ω |
0.51796597550872 |
Real period |
R |
1.7711749334176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999241035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128832z2 16104a2 |
Quadratic twists by: -4 8 |