Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888bm |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6151680 |
Modular degree for the optimal curve |
Δ |
-1.9895601315104E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11544888,-16553494384] |
[a1,a2,a3,a4,a6] |
Generators |
[16160:2004244:1] |
Generators of the group modulo torsion |
j |
-56990885911817038336/6662996625267851 |
j-invariant |
L |
6.5961653805281 |
L(r)(E,1)/r! |
Ω |
0.040684493075764 |
Real period |
R |
2.2518016266357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888w1 14432b1 |
Quadratic twists by: -4 -3 |