Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742q |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
11306401685568 = 26 · 33 · 11 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9740,-330289] |
[a1,a2,a3,a4,a6] |
Generators |
[379:6903:1] |
Generators of the group modulo torsion |
j |
3784382416807875/418755617984 |
j-invariant |
L |
5.321308691878 |
L(r)(E,1)/r! |
Ω |
0.48403078576681 |
Real period |
R |
5.4968700838397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
45936bb2 5742c4 63162g2 |
Quadratic twists by: -4 -3 -11 |