Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760o |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3439013760000 = 210 · 310 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18147,936686] |
[a1,a2,a3,a4,a6] |
Generators |
[7:900:1] |
Generators of the group modulo torsion |
j |
885341342596/4606875 |
j-invariant |
L |
6.2869450290802 |
L(r)(E,1)/r! |
Ω |
0.79647111789237 |
Real period |
R |
0.98668754080453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bn3 10920k3 |
Quadratic twists by: -4 -3 |