Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gn |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
211200000000 = 214 · 3 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27633,-1777137] |
[a1,a2,a3,a4,a6] |
Generators |
[22560957:755625248:19683] |
Generators of the group modulo torsion |
j |
9115564624/825 |
j-invariant |
L |
9.1315909516917 |
L(r)(E,1)/r! |
Ω |
0.37029137313796 |
Real period |
R |
12.33027774079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bk1 13200l1 10560bw1 |
Quadratic twists by: -4 8 5 |