Atkin-Lehner |
3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
5727d |
Isogeny class |
Conductor |
5727 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
17181 = 32 · 23 · 83 |
Discriminant |
Eigenvalues |
0 3+ -1 4 -2 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-171,920] |
[a1,a2,a3,a4,a6] |
Generators |
[8:0:1] |
Generators of the group modulo torsion |
j |
556223463424/17181 |
j-invariant |
L |
2.8765213556578 |
L(r)(E,1)/r! |
Ω |
3.6318398489468 |
Real period |
R |
0.39601434469804 |
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 |
91632s1 17181a1 |
Quadratic twists by: -4 -3 |