Atkin-Lehner |
2- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85196d |
Isogeny class |
Conductor |
85196 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-154595775902384 = -1 · 24 · 196 · 593 |
Discriminant |
Eigenvalues |
2- -1 3 -1 6 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11071,-399734] |
[a1,a2,a3,a4,a6] |
j |
199344128/205379 |
j-invariant |
L |
2.8180863589979 |
L(r)(E,1)/r! |
Ω |
0.31312070875132 |
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 |
236b2 |
Quadratic twists by: -19 |