Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5742x |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-123078546954 = -1 · 2 · 313 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,17259] |
[a1,a2,a3,a4,a6] |
j |
-9759185353/168832026 |
j-invariant |
L |
5.2913166596511 |
L(r)(E,1)/r! |
Ω |
0.88188610994185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45936bj1 1914c1 63162bb1 |
Quadratic twists by: -4 -3 -11 |