Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360s |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-612267301273600 = -1 · 224 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2016,1191680] |
[a1,a2,a3,a4,a6] |
j |
-221335335649/149479321600 |
j-invariant |
L |
1.6644772835068 |
L(r)(E,1)/r! |
Ω |
0.41611932087671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170n1 69440dg1 86800bz1 121520dc1 |
Quadratic twists by: -4 8 5 -7 |