Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280o |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2028000000 = -1 · 28 · 3 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4281,-106419] |
[a1,a2,a3,a4,a6] |
j |
-200601496576/46875 |
j-invariant |
L |
1.1803986435082 |
L(r)(E,1)/r! |
Ω |
0.29509966087705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40560q1 60840t1 101400be1 20280h1 |
Quadratic twists by: -4 -3 5 13 |