Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3192n |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
163021824 = 210 · 32 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1064,-12996] |
[a1,a2,a3,a4,a6] |
Generators |
[45:168:1] |
Generators of the group modulo torsion |
j |
130213720228/159201 |
j-invariant |
L |
2.6565806712763 |
L(r)(E,1)/r! |
Ω |
0.83591481406107 |
Real period |
R |
3.1780519098232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6384i2 25536bp2 9576l2 79800i2 |
Quadratic twists by: -4 8 -3 5 |