Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1320m |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1568160000 = 28 · 34 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340,-1600] |
[a1,a2,a3,a4,a6] |
j |
17029316176/6125625 |
j-invariant |
L |
2.2895373791956 |
L(r)(E,1)/r! |
Ω |
1.1447686895978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
2640f2 10560f2 3960d2 6600a2 |
Quadratic twists by: -4 8 -3 5 |