Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600ck |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
533081250000 = 24 · 38 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2033,-4062] |
[a1,a2,a3,a4,a6] |
j |
3718856704/2132325 |
j-invariant |
L |
3.0861367739367 |
L(r)(E,1)/r! |
Ω |
0.77153419348416 |
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 |
3900d1 62400eh1 46800ed1 3120n1 |
Quadratic twists by: -4 8 -3 5 |