Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fx |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2534400000000 = 216 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5280033,-4671611937] |
[a1,a2,a3,a4,a6] |
Generators |
[41937:-8575008:1] |
Generators of the group modulo torsion |
j |
15897679904620804/2475 |
j-invariant |
L |
7.5155857042909 |
L(r)(E,1)/r! |
Ω |
0.099595654192713 |
Real period |
R |
9.4326225441308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800x4 13200h3 10560bh3 |
Quadratic twists by: -4 8 5 |