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 |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-6569136 = -1 · 24 · 32 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41,86] |
[a1,a2,a3,a4,a6] |
Generators |
[14:60:1] |
Generators of the group modulo torsion |
j |
464857088/410571 |
j-invariant |
L |
3.6560119491348 |
L(r)(E,1)/r! |
Ω |
1.5458250509773 |
Real period |
R |
2.3650877871485 |
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 |
6384c1 25536u1 9576z1 79800z1 |
Quadratic twists by: -4 8 -3 5 |