Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fy |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
43868160 |
Modular degree for the optimal curve |
Δ |
-2.617274218982E+26 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-709015251,7308172184978] |
[a1,a2,a3,a4,a6] |
Generators |
[-24743:3115008:1] |
Generators of the group modulo torsion |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
9.5014776119995 |
L(r)(E,1)/r! |
Ω |
0.055517138001759 |
Real period |
R |
2.1393118309021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466be1 30576cg1 13104cf1 |
Quadratic twists by: -4 -3 -7 |