Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450j |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-585923544000000000 = -1 · 212 · 39 · 59 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,189633,-18649459] |
[a1,a2,a3,a4,a6] |
j |
19617462873/15241216 |
j-invariant |
L |
0.64700383041145 |
L(r)(E,1)/r! |
Ω |
0.16175095760281 |
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 |
27450bm1 27450bl1 |
Quadratic twists by: -3 5 |