Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904m |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-249213653436096 = -1 · 26 · 318 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105735,-13290633] |
[a1,a2,a3,a4,a6] |
Generators |
[3738:50301:8] |
Generators of the group modulo torsion |
j |
-2042697956312180224/3893963334939 |
j-invariant |
L |
7.6438681847182 |
L(r)(E,1)/r! |
Ω |
0.13236248461369 |
Real period |
R |
1.6041529619113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904e1 41952a1 |
Quadratic twists by: -4 8 |