Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ek |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
301238062110720000 = 214 · 36 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4585681,-3778049519] |
[a1,a2,a3,a4,a6] |
Generators |
[-423297:96200:343] |
Generators of the group modulo torsion |
j |
16129950234928/455625 |
j-invariant |
L |
5.0801164265563 |
L(r)(E,1)/r! |
Ω |
0.10316902419032 |
Real period |
R |
6.1550892654339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ck2 11760cr2 47040gx2 |
Quadratic twists by: -4 8 -7 |