Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600n |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-6860000000 = -1 · 28 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 5 -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3033,-65437] |
[a1,a2,a3,a4,a6] |
j |
-2249728/5 |
j-invariant |
L |
2.5728927309194 |
L(r)(E,1)/r! |
Ω |
0.32161159136493 |
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 |
9800h1 78400ia1 3920f1 19600r1 |
Quadratic twists by: -4 8 5 -7 |