Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110dc |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
1200 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
12025045468800000 = 210 · 33 · 55 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-596135,177031497] |
[a1,a2,a3,a4,a6] |
Generators |
[1894:-77387:1] |
Generators of the group modulo torsion |
j |
199144987475642209/102211200000 |
j-invariant |
L |
9.62007034914 |
L(r)(E,1)/r! |
Ω |
0.39603088946266 |
Real period |
R |
0.080970707126682 |
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 |
57330z1 95550bl1 2730t1 |
Quadratic twists by: -3 5 -7 |