Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180q |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2727936 |
Modular degree for the optimal curve |
Δ |
3.6503449447909E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1769772,858312209] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:13167:1] |
Generators of the group modulo torsion |
j |
52556708716308742144/3129582428661645 |
j-invariant |
L |
8.6892240657439 |
L(r)(E,1)/r! |
Ω |
0.20246450790387 |
Real period |
R |
3.5764392126807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27060c1 |
Quadratic twists by: -3 |