Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832bk |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-194222686208 = -1 · 216 · 413 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 1 6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5249,149665] |
[a1,a2,a3,a4,a6] |
Generators |
[27:164:1] |
Generators of the group modulo torsion |
j |
-244093511812/2963603 |
j-invariant |
L |
3.6384089436727 |
L(r)(E,1)/r! |
Ω |
1.0104800500592 |
Real period |
R |
0.60011228292601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832n1 28208c1 |
Quadratic twists by: -4 8 |