Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81120y |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2562580800 = 26 · 36 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-550,4148] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:78:1] [-19:90:1] |
Generators of the group modulo torsion |
j |
131096512/18225 |
j-invariant |
L |
12.152573184876 |
L(r)(E,1)/r! |
Ω |
1.3880306714129 |
Real period |
R |
0.72960522628741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120bn1 81120bt1 |
Quadratic twists by: -4 13 |