Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fx |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2459125785600000000 = 216 · 38 · 58 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-380033,-49511937] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:6000:1] |
Generators of the group modulo torsion |
j |
5927735656804/2401490025 |
j-invariant |
L |
7.5155857042909 |
L(r)(E,1)/r! |
Ω |
0.19919130838543 |
Real period |
R |
2.3581556360327 |
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 |
52800x3 13200h4 10560bh4 |
Quadratic twists by: -4 8 5 |