Atkin-Lehner |
2- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942k |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
46809600 |
Modular degree for the optimal curve |
Δ |
-1.5180509783367E+22 |
Discriminant |
Eigenvalues |
2- 1 -4 1 4 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1216531690,16331669633956] |
[a1,a2,a3,a4,a6] |
Generators |
[21804:404390:1] [36468:4505798:1] |
Generators of the group modulo torsion |
j |
-18471699048587981865409/1408313065472 |
j-invariant |
L |
15.32237148987 |
L(r)(E,1)/r! |
Ω |
0.094785288349307 |
Real period |
R |
1.6165347763531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786d1 |
Quadratic twists by: -47 |