Atkin-Lehner |
2+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136f |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3233984 = -1 · 26 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 -1 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79,259] |
[a1,a2,a3,a4,a6] |
j |
-862801408/50531 |
j-invariant |
L |
2.483419130999 |
L(r)(E,1)/r! |
Ω |
2.483419130999 |
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 |
19136b1 9568g1 |
Quadratic twists by: -4 8 |