Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920z |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-9.5647328379077E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -4 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1094997,-164008998] |
[a1,a2,a3,a4,a6] |
Generators |
[5973:468480:1] |
Generators of the group modulo torsion |
j |
1312921583804564973/864866612224000 |
j-invariant |
L |
5.6365883657055 |
L(r)(E,1)/r! |
Ω |
0.10823484055415 |
Real period |
R |
1.3019348337501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5490m1 43920be1 |
Quadratic twists by: -4 -3 |