Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360cy |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
7651584000000 = 214 · 36 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39185,2969583] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-120:1] [151:-720:1] |
Generators of the group modulo torsion |
j |
406138732653904/467015625 |
j-invariant |
L |
9.7844643024202 |
L(r)(E,1)/r! |
Ω |
0.73857685116649 |
Real period |
R |
0.3679924095075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360n1 9840b1 118080ex1 |
Quadratic twists by: -4 8 -3 |