Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dm |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
281499500880 = 24 · 36 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,24167] |
[a1,a2,a3,a4,a6] |
Generators |
[834704:11638523:4096] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
7.5588434081775 |
L(r)(E,1)/r! |
Ω |
0.90452395426979 |
Real period |
R |
8.3567089765391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999471303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30420j1 13520bb1 720i1 |
Quadratic twists by: -4 -3 13 |