Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680n |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.4893502607529E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4587843,-3705385502] |
[a1,a2,a3,a4,a6] |
Generators |
[-1339:6084:1] [2847:79430:1] |
Generators of the group modulo torsion |
j |
1481943889298/34543665 |
j-invariant |
L |
11.410295589951 |
L(r)(E,1)/r! |
Ω |
0.10330324893977 |
Real period |
R |
6.9033983104623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840g3 40560z3 9360t3 |
Quadratic twists by: -4 -3 13 |