Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14416j |
Isogeny class |
Conductor |
14416 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1066553344 = 212 · 173 · 53 |
Discriminant |
Eigenvalues |
2- -1 -3 4 -6 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-277,-739] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
575930368/260389 |
j-invariant |
L |
3.2798445592682 |
L(r)(E,1)/r! |
Ω |
1.2207069308908 |
Real period |
R |
0.8956134286534 |
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 |
901c1 57664bp1 129744bn1 |
Quadratic twists by: -4 8 -3 |