Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3192n |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
817152 = 211 · 3 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17024,-849300] |
[a1,a2,a3,a4,a6] |
Generators |
[501:10776:1] |
Generators of the group modulo torsion |
j |
266442869452034/399 |
j-invariant |
L |
2.6565806712763 |
L(r)(E,1)/r! |
Ω |
0.41795740703053 |
Real period |
R |
6.3561038196464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6384i3 25536bp4 9576l3 79800i4 |
Quadratic twists by: -4 8 -3 5 |