Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fx |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1568160000000000 = 214 · 34 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-330033,-73061937] |
[a1,a2,a3,a4,a6] |
Generators |
[687:4992:1] |
Generators of the group modulo torsion |
j |
15529488955216/6125625 |
j-invariant |
L |
7.5155857042909 |
L(r)(E,1)/r! |
Ω |
0.19919130838543 |
Real period |
R |
4.7163112720654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800x2 13200h2 10560bh2 |
Quadratic twists by: -4 8 5 |