Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1320m |
Isogeny class |
Conductor |
1320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3373286400 = 210 · 32 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4840,-131200] |
[a1,a2,a3,a4,a6] |
j |
12247559771044/3294225 |
j-invariant |
L |
2.2895373791956 |
L(r)(E,1)/r! |
Ω |
0.57238434479889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2640f4 10560f3 3960d4 6600a3 |
Quadratic twists by: -4 8 -3 5 |