Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742y |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-61393464 = -1 · 23 · 37 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- -4 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-417] |
[a1,a2,a3,a4,a6] |
Generators |
[23:87:1] |
Generators of the group modulo torsion |
j |
-47045881/84216 |
j-invariant |
L |
5.8305779264304 |
L(r)(E,1)/r! |
Ω |
0.78518359864945 |
Real period |
R |
0.3094062934484 |
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 |
45936bn1 1914a1 63162t1 |
Quadratic twists by: -4 -3 -11 |