Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19074bf |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-40515199217328 = -1 · 24 · 3 · 112 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 5 11+ -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16479,-871287] |
[a1,a2,a3,a4,a6] |
j |
-70945777/5808 |
j-invariant |
L |
5.032889401258 |
L(r)(E,1)/r! |
Ω |
0.20970372505242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57222bb1 19074u1 |
Quadratic twists by: -3 17 |