Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bz |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.2546695047286E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-209451,174368986] |
[a1,a2,a3,a4,a6] |
j |
-192100033/2371842 |
j-invariant |
L |
1.5277470860566 |
L(r)(E,1)/r! |
Ω |
0.19096838575707 |
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 |
2178k4 69696gk3 5808bf4 1584n4 |
Quadratic twists by: -4 8 -3 -11 |