Atkin-Lehner |
2- 3- 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214k |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-106561242576 = -1 · 24 · 310 · 432 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 1 3 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4712,-124293] |
[a1,a2,a3,a4,a6] |
j |
-15868125221689/146174544 |
j-invariant |
L |
4.6074090465381 |
L(r)(E,1)/r! |
Ω |
0.28796306539655 |
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 |
15738a1 |
Quadratic twists by: -3 |