Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700bt |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
21734874018000 = 24 · 312 · 53 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1848180,-967084675] |
[a1,a2,a3,a4,a6] |
Generators |
[-2866965022460:10166861601:3652264000] |
Generators of the group modulo torsion |
j |
478849443293216768/14907321 |
j-invariant |
L |
7.9763028442487 |
L(r)(E,1)/r! |
Ω |
0.12948321940159 |
Real period |
R |
15.400263687484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999945706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42900t1 128700bk1 |
Quadratic twists by: -3 5 |