Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296ct |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
38391970526208 = 210 · 310 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28200,-1798184] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:117:1] [-90:104:1] |
Generators of the group modulo torsion |
j |
3322336000000/51429573 |
j-invariant |
L |
12.111091755774 |
L(r)(E,1)/r! |
Ω |
0.36876072542636 |
Real period |
R |
2.7368902831982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296s1 31824d1 42432cn1 |
Quadratic twists by: -4 8 -3 |