Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1980d |
Isogeny class |
Conductor |
1980 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1058508000000 = 28 · 37 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2249967,1299009526] |
[a1,a2,a3,a4,a6] |
j |
6749703004355978704/5671875 |
j-invariant |
L |
2.1820190503997 |
L(r)(E,1)/r! |
Ω |
0.54550476259992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7920bl4 31680x4 660d4 9900l4 |
Quadratic twists by: -4 8 -3 5 |