Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728bg |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
160554178512 = 24 · 38 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1470,9947] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:36:1] [43:162:1] |
Generators of the group modulo torsion |
j |
256000/117 |
j-invariant |
L |
11.249703749619 |
L(r)(E,1)/r! |
Ω |
0.91648344024138 |
Real period |
R |
6.1374288151913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864bm1 30576h1 1872d1 |
Quadratic twists by: -4 -3 -7 |