Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3192i |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
893555712 = 210 · 38 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2864,58032] |
[a1,a2,a3,a4,a6] |
Generators |
[4:216:1] |
Generators of the group modulo torsion |
j |
2538016415428/872613 |
j-invariant |
L |
3.6560119491348 |
L(r)(E,1)/r! |
Ω |
1.5458250509773 |
Real period |
R |
0.59127194678713 |
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 |
6384c3 25536u4 9576z3 79800z4 |
Quadratic twists by: -4 8 -3 5 |