Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
528a |
Isogeny class |
Conductor |
528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2230272 = -1 · 211 · 32 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
1714750/1089 |
j-invariant |
L |
1.7218133021209 |
L(r)(E,1)/r! |
Ω |
1.4908462765307 |
Real period |
R |
0.28873085864489 |
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 |
264a2 2112ba2 1584f2 13200q2 |
Quadratic twists by: -4 8 -3 5 |