Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ci |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.6065737583964E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,61065261,-58788986355] |
[a1,a2,a3,a4,a6] |
j |
293623352309352854879/187320324116835000 |
j-invariant |
L |
2.5570785391742 |
L(r)(E,1)/r! |
Ω |
0.039954352165225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cp6 8190n6 |
Quadratic twists by: -3 -7 |