Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222u |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.3334695918689E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2088549,-2013448401] |
[a1,a2,a3,a4,a6] |
Generators |
[291459:6489993:343] |
Generators of the group modulo torsion |
j |
57258048889007/132611470002 |
j-invariant |
L |
4.2263517741833 |
L(r)(E,1)/r! |
Ω |
0.075361943346458 |
Real period |
R |
7.0100895535042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074bc4 3366c4 |
Quadratic twists by: -3 17 |