Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640x |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2846016000000 = 212 · 36 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4080,-57600] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:200:1] |
Generators of the group modulo torsion |
j |
1834216913521/694828125 |
j-invariant |
L |
4.8554769394519 |
L(r)(E,1)/r! |
Ω |
0.61664819108293 |
Real period |
R |
0.65616519133394 |
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 |
915d2 58560do2 43920bj2 73200ch2 |
Quadratic twists by: -4 8 -3 5 |