Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742b |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
255771648 = 210 · 33 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-546,-4716] |
[a1,a2,a3,a4,a6] |
j |
667398487419/9473024 |
j-invariant |
L |
1.9768209786101 |
L(r)(E,1)/r! |
Ω |
0.98841048930506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936bd1 5742s1 63162bl1 |
Quadratic twists by: -4 -3 -11 |