Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192n |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-8024832 = -1 · 28 · 36 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,524] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
-1024000/43 |
j-invariant |
L |
4.4143996925734 |
L(r)(E,1)/r! |
Ω |
2.3149594160148 |
Real period |
R |
0.4767253868507 |
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 |
1548c1 24768cl1 688b1 |
Quadratic twists by: -4 8 -3 |