Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720bj |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1774094400 = 26 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597,-5236] |
[a1,a2,a3,a4,a6] |
j |
504358336/38025 |
j-invariant |
L |
1.9408932188686 |
L(r)(E,1)/r! |
Ω |
0.9704466094343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18720n1 37440bj2 6240a1 93600bh1 |
Quadratic twists by: -4 8 -3 5 |