Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800b |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
1.6450653076172E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6848908,-3082302938] |
[a1,a2,a3,a4,a6] |
Generators |
[2668606483166582332581:-894272538730707675781250:23750531953863623] |
Generators of the group modulo torsion |
j |
35529391776305786176/16450653076171875 |
j-invariant |
L |
5.6063818130534 |
L(r)(E,1)/r! |
Ω |
0.09756394054527 |
Real period |
R |
28.731833614562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800cn1 26400ca3 10560o1 |
Quadratic twists by: -4 8 5 |