Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760z |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2328498900000000 = 28 · 39 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164727,25628346] |
[a1,a2,a3,a4,a6] |
Generators |
[357:-3510:1] |
Generators of the group modulo torsion |
j |
98104024066032/462109375 |
j-invariant |
L |
6.6045034505266 |
L(r)(E,1)/r! |
Ω |
0.46261614131942 |
Real period |
R |
0.44613820053988 |
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 |
65520k2 32760c2 |
Quadratic twists by: -4 -3 |