Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fh |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1693612800000000 = -1 · 214 · 37 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26667,-1062963] |
[a1,a2,a3,a4,a6] |
Generators |
[14636:1770703:1] |
Generators of the group modulo torsion |
j |
327680000/264627 |
j-invariant |
L |
4.4031907641974 |
L(r)(E,1)/r! |
Ω |
0.26217452948911 |
Real period |
R |
8.3974419116594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dv1 13200ct1 52800fy1 |
Quadratic twists by: -4 8 5 |