Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dl |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.4541337622996E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20227969,-34539571585] |
[a1,a2,a3,a4,a6] |
j |
3491729964247447364833/55470800868972723 |
j-invariant |
L |
2.85029402318 |
L(r)(E,1)/r! |
Ω |
0.071257350587615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408j3 14352v4 |
Quadratic twists by: -4 8 |