Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280n |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43856640000000000 = 217 · 36 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100216,6932080] |
[a1,a2,a3,a4,a6] |
Generators |
[316:2592:1] |
Generators of the group modulo torsion |
j |
27175609354259449/10707187500000 |
j-invariant |
L |
2.7347560292821 |
L(r)(E,1)/r! |
Ω |
0.32773711975276 |
Real period |
R |
2.0860896313371 |
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 |
1410e2 45120dc2 33840cj2 56400cr2 |
Quadratic twists by: -4 8 -3 5 |