Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192c |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17754888172032 = -1 · 29 · 38 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20595,1155526] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1026:1] [62:342:1] |
Generators of the group modulo torsion |
j |
-2588282117000/47568609 |
j-invariant |
L |
9.2423590178449 |
L(r)(E,1)/r! |
Ω |
0.69173996110959 |
Real period |
R |
1.6701288666018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60192y2 120384bq2 20064s2 |
Quadratic twists by: -4 8 -3 |