Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cl |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9.1740090017649E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1944260964,-32996930882630] |
[a1,a2,a3,a4,a6] |
j |
27629784261491295969847/311852531250 |
j-invariant |
L |
2.4554702199261 |
L(r)(E,1)/r! |
Ω |
0.022735835365669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bq2 57330bs2 |
Quadratic twists by: -3 -7 |