Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472z |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-3465733521309696 = -1 · 215 · 319 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50785,5220191] |
[a1,a2,a3,a4,a6] |
Generators |
[695:17496:1] |
Generators of the group modulo torsion |
j |
-442067613591752/105765793497 |
j-invariant |
L |
6.18341560403 |
L(r)(E,1)/r! |
Ω |
0.4245468515973 |
Real period |
R |
0.1916413496552 |
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 |
17472k1 8736l1 52416by1 122304s1 |
Quadratic twists by: -4 8 -3 -7 |