Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074ba |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
866635277376 = 26 · 3 · 11 · 177 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2607,-25095] |
[a1,a2,a3,a4,a6] |
Generators |
[314:5333:1] |
Generators of the group modulo torsion |
j |
81182737/35904 |
j-invariant |
L |
10.24447715124 |
L(r)(E,1)/r! |
Ω |
0.69600374882866 |
Real period |
R |
4.9063323621846 |
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 |
57222v1 1122f1 |
Quadratic twists by: -3 17 |