Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200hl |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.4577181696E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543500,239850000] |
[a1,a2,a3,a4,a6] |
j |
-34677868581/28471058 |
j-invariant |
L |
2.4432666856722 |
L(r)(E,1)/r! |
Ω |
0.20360559361001 |
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 |
123200cy2 30800cy2 123200gq2 |
Quadratic twists by: -4 8 5 |