Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928m |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
64463941755136 = 28 · 78 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95599,11370450] |
[a1,a2,a3,a4,a6] |
Generators |
[193:330:1] |
Generators of the group modulo torsion |
j |
3208156567632/2140369 |
j-invariant |
L |
5.8223484872805 |
L(r)(E,1)/r! |
Ω |
0.61449048046131 |
Real period |
R |
2.3687708230997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004334 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11704e2 |
Quadratic twists by: -7 |