Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3192c |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-21812982786395136 = -1 · 210 · 34 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6384,7110684] |
[a1,a2,a3,a4,a6] |
j |
-28104147578308/21301741002339 |
j-invariant |
L |
0.61750109449595 |
L(r)(E,1)/r! |
Ω |
0.30875054724797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6384n4 25536bb3 9576v4 79800bu3 |
Quadratic twists by: -4 8 -3 5 |