Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560en |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
29130840000 = 26 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12063,509888] |
[a1,a2,a3,a4,a6] |
Generators |
[1762:23375:8] |
Generators of the group modulo torsion |
j |
4160851280704/624375 |
j-invariant |
L |
5.7670550266374 |
L(r)(E,1)/r! |
Ω |
1.139185969596 |
Real period |
R |
5.0624351051739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999702329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560el1 53280cc4 35520bz1 |
Quadratic twists by: -4 8 -3 |