Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bm |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-7.7539306559679E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13742427,-23748272746] |
[a1,a2,a3,a4,a6] |
Generators |
[11098:1091160:1] |
Generators of the group modulo torsion |
j |
-192245661431796830258/51935513760073125 |
j-invariant |
L |
6.7906750234987 |
L(r)(E,1)/r! |
Ω |
0.038661570603163 |
Real period |
R |
5.48887671074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bb3 10920b4 |
Quadratic twists by: -4 -3 |