Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760x |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
275184000000 = 210 · 33 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1707,-9994] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:100:1] |
Generators of the group modulo torsion |
j |
19895760972/9953125 |
j-invariant |
L |
5.3133107220426 |
L(r)(E,1)/r! |
Ω |
0.78241212871182 |
Real period |
R |
0.56591133656445 |
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 |
65520i2 32760a2 |
Quadratic twists by: -4 -3 |