Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bn |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
38635833600 = 28 · 36 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,5346] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:126:1] |
Generators of the group modulo torsion |
j |
472058064/207025 |
j-invariant |
L |
6.198263959679 |
L(r)(E,1)/r! |
Ω |
1.0367193550627 |
Real period |
R |
0.74734111133964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65520bc2 3640c2 |
Quadratic twists by: -4 -3 |