Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dv |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2752512 |
Modular degree for the optimal curve |
Δ |
5.9019163978382E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1018956,-141828464] |
[a1,a2,a3,a4,a6] |
Generators |
[-36709760:-1089289044:68921] |
Generators of the group modulo torsion |
j |
612241204436497/308834353152 |
j-invariant |
L |
8.0221159731934 |
L(r)(E,1)/r! |
Ω |
0.15844623270877 |
Real period |
R |
12.657473469635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bv1 31824bf1 42432cj1 |
Quadratic twists by: -4 8 -3 |