Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928bc |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1866290260082688 = 228 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40899,2411458] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1566:1] |
Generators of the group modulo torsion |
j |
2533811507137/625016832 |
j-invariant |
L |
6.2691252803982 |
L(r)(E,1)/r! |
Ω |
0.43980993223954 |
Real period |
R |
3.5635423513945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3366h1 107712eo1 8976bf1 |
Quadratic twists by: -4 8 -3 |