Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720h |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
201458654280000 = 26 · 318 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95313,11305388] |
[a1,a2,a3,a4,a6] |
j |
2052450196928704/4317958125 |
j-invariant |
L |
2.261145970858 |
L(r)(E,1)/r! |
Ω |
0.56528649271449 |
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 |
18720bf1 37440cp2 6240y1 93600ei1 |
Quadratic twists by: -4 8 -3 5 |