Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5576b |
Isogeny class |
Conductor |
5576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
12133376 = 210 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 4 -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3952,94320] |
[a1,a2,a3,a4,a6] |
Generators |
[28:80:1] |
Generators of the group modulo torsion |
j |
6667828959172/11849 |
j-invariant |
L |
3.5045967100281 |
L(r)(E,1)/r! |
Ω |
1.9308346369691 |
Real period |
R |
1.8150682833872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11152b1 44608e1 50184bc1 94792k1 |
Quadratic twists by: -4 8 -3 17 |