Atkin-Lehner |
5+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
19285b |
Isogeny class |
Conductor |
19285 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-8319877249985 = -1 · 5 · 73 · 193 · 294 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7+ 0 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2553,148026] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:426:1] |
Generators of the group modulo torsion |
j |
-1839571477841889/8319877249985 |
j-invariant |
L |
1.4024922100108 |
L(r)(E,1)/r! |
Ω |
0.64003915333033 |
Real period |
R |
1.0956300116275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96425d1 |
Quadratic twists by: 5 |