Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6192g |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-866681856 = -1 · 210 · 39 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 3 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,-758] |
[a1,a2,a3,a4,a6] |
Generators |
[11:54:1] |
Generators of the group modulo torsion |
j |
1431644/1161 |
j-invariant |
L |
4.4498107521571 |
L(r)(E,1)/r! |
Ω |
0.87628467826634 |
Real period |
R |
1.2695106004138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3096h1 24768cb1 2064c1 |
Quadratic twists by: -4 8 -3 |