Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152w |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
18764669952 = 210 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1371,18394] |
[a1,a2,a3,a4,a6] |
Generators |
[5:108:1] |
Generators of the group modulo torsion |
j |
381775972/25137 |
j-invariant |
L |
5.0601228950039 |
L(r)(E,1)/r! |
Ω |
1.2008395505358 |
Real period |
R |
0.52672762284793 |
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 |
9576j1 76608fo1 6384l1 |
Quadratic twists by: -4 8 -3 |