Atkin-Lehner |
2- 3+ 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
92112i |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-42424892974934784 = -1 · 28 · 38 · 195 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408109,100973137] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3838:1] |
Generators of the group modulo torsion |
j |
-29363872388283768832/165722238183339 |
j-invariant |
L |
6.9663434859547 |
L(r)(E,1)/r! |
Ω |
0.36330774270649 |
Real period |
R |
0.47936932429746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23028a1 |
Quadratic twists by: -4 |