Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11280b |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1517775978240000 = 211 · 35 · 54 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28776,-120240] |
[a1,a2,a3,a4,a6] |
Generators |
[1058:33950:1] |
Generators of the group modulo torsion |
j |
1286767627578578/741101551875 |
j-invariant |
L |
3.7772407874434 |
L(r)(E,1)/r! |
Ω |
0.39909424249341 |
Real period |
R |
4.73226669952 |
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 |
5640c3 45120cy4 33840q4 56400v4 |
Quadratic twists by: -4 8 -3 5 |