Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440k |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
761856000 = 216 · 3 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3896,-92304] |
[a1,a2,a3,a4,a6] |
Generators |
[988:30976:1] |
Generators of the group modulo torsion |
j |
1597099875769/186000 |
j-invariant |
L |
2.9318128185642 |
L(r)(E,1)/r! |
Ω |
0.6042804773783 |
Real period |
R |
4.8517417462898 |
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 |
930g1 29760cx1 22320cg1 37200dh1 |
Quadratic twists by: -4 8 -3 5 |