Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
528g |
Isogeny class |
Conductor |
528 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1046740992 = 218 · 3 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1288,18160] |
[a1,a2,a3,a4,a6] |
Generators |
[18:22:1] |
Generators of the group modulo torsion |
j |
57736239625/255552 |
j-invariant |
L |
1.7226781593617 |
L(r)(E,1)/r! |
Ω |
1.5635201773573 |
Real period |
R |
0.36726488179457 |
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 |
66a3 2112x3 1584l3 13200ck3 |
Quadratic twists by: -4 8 -3 5 |