Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760w |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
320974617600 = 210 · 39 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7803,-263898] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:28:1] |
Generators of the group modulo torsion |
j |
2606857452/15925 |
j-invariant |
L |
4.8429800173841 |
L(r)(E,1)/r! |
Ω |
0.50815237003739 |
Real period |
R |
2.3826416558028 |
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 |
65520f2 32760f2 |
Quadratic twists by: -4 -3 |