Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gc |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
87120000000 = 210 · 32 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,3363] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:75:1] |
Generators of the group modulo torsion |
j |
10061824/5445 |
j-invariant |
L |
7.6198270523765 |
L(r)(E,1)/r! |
Ω |
0.93913617424672 |
Real period |
R |
1.0142068931707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800be1 13200i1 10560bu1 |
Quadratic twists by: -4 8 5 |