Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680fn |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
52481654784000 = 218 · 36 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9867,-144326] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:320:1] |
Generators of the group modulo torsion |
j |
16194277/8000 |
j-invariant |
L |
6.7077570307654 |
L(r)(E,1)/r! |
Ω |
0.50388614089806 |
Real period |
R |
1.1093374172022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210bu1 13520v1 121680ef1 |
Quadratic twists by: -4 -3 13 |