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 |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1022112000 = 28 · 33 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,10754] |
[a1,a2,a3,a4,a6] |
Generators |
[13:30:1] |
Generators of the group modulo torsion |
j |
12745567728/147875 |
j-invariant |
L |
5.3133107220426 |
L(r)(E,1)/r! |
Ω |
1.5648242574236 |
Real period |
R |
0.28295566828223 |
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 |
65520i1 32760a1 |
Quadratic twists by: -4 -3 |