Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824j |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-493313195433756672 = -1 · 211 · 310 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67755,34467514] |
[a1,a2,a3,a4,a6] |
Generators |
[473:-10404:1] |
Generators of the group modulo torsion |
j |
-23040414103250/330419182041 |
j-invariant |
L |
5.4452176125564 |
L(r)(E,1)/r! |
Ω |
0.2493173240062 |
Real period |
R |
0.45501063372595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15912p2 127296dl2 10608e2 |
Quadratic twists by: -4 8 -3 |