Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744z |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3127680 |
Modular degree for the optimal curve |
Δ |
48594836736 = 28 · 36 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -4 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26995368,-53986104596] |
[a1,a2,a3,a4,a6] |
Generators |
[-4332996053727639393098259469447771346922:7983043266342125536186401403986766:1444456086861620966529918986918674199] |
Generators of the group modulo torsion |
j |
11657997957801459245056/260389 |
j-invariant |
L |
7.3810734383833 |
L(r)(E,1)/r! |
Ω |
0.066233429299599 |
Real period |
R |
55.720151564219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32436d1 14416k1 |
Quadratic twists by: -4 -3 |