Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5676c |
Isogeny class |
Conductor |
5676 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
36197509392 = 24 · 314 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2278,40085] |
[a1,a2,a3,a4,a6] |
Generators |
[17:81:1] |
Generators of the group modulo torsion |
j |
81743931616000/2262344337 |
j-invariant |
L |
4.5334538112411 |
L(r)(E,1)/r! |
Ω |
1.1538818122948 |
Real period |
R |
0.2806337060902 |
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 |
22704ba1 90816s1 17028k1 62436q1 |
Quadratic twists by: -4 8 -3 -11 |