Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472k |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
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 |
[23115:649144:27] |
Generators of the group modulo torsion |
j |
-442067613591752/105765793497 |
j-invariant |
L |
4.7332617288192 |
L(r)(E,1)/r! |
Ω |
0.15702715434922 |
Real period |
R |
7.5357376060778 |
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 |
17472z1 8736h1 52416cw1 122304da1 |
Quadratic twists by: -4 8 -3 -7 |