Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680fn |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
820025856000000 = 215 · 36 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84747,9395386] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:3600:1] |
Generators of the group modulo torsion |
j |
10260751717/125000 |
j-invariant |
L |
6.7077570307654 |
L(r)(E,1)/r! |
Ω |
0.50388614089806 |
Real period |
R |
0.55466870860108 |
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 |
15210bu2 13520v2 121680ef2 |
Quadratic twists by: -4 -3 13 |