Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1892d |
Isogeny class |
Conductor |
1892 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
7568 = 24 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -2 2 3 11- -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,33] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
76995328/473 |
j-invariant |
L |
2.5637000891173 |
L(r)(E,1)/r! |
Ω |
4.1943333416441 |
Real period |
R |
0.20374315219245 |
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 |
7568j1 30272h1 17028f1 47300m1 |
Quadratic twists by: -4 8 -3 5 |