Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81120y |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
151856640000 = 212 · 33 · 54 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2305,-39025] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:60:1] [-25:60:1] |
Generators of the group modulo torsion |
j |
150568768/16875 |
j-invariant |
L |
12.152573184876 |
L(r)(E,1)/r! |
Ω |
0.69401533570646 |
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 |
81120bn2 81120bt2 |
Quadratic twists by: -4 13 |