Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5742s |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
186457531392 = 210 · 39 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4916,132247] |
[a1,a2,a3,a4,a6] |
Generators |
[29:101:1] |
Generators of the group modulo torsion |
j |
667398487419/9473024 |
j-invariant |
L |
5.2748713379985 |
L(r)(E,1)/r! |
Ω |
1.0128638369506 |
Real period |
R |
0.52078780439823 |
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 |
45936x1 5742b1 63162j1 |
Quadratic twists by: -4 -3 -11 |