Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100bb |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2116800 |
Modular degree for the optimal curve |
Δ |
-2.5530430068675E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10290000,-12935387500] |
[a1,a2,a3,a4,a6] |
Generators |
[733920922:7757938377:195112] |
Generators of the group modulo torsion |
j |
-11468800/243 |
j-invariant |
L |
5.9043109519336 |
L(r)(E,1)/r! |
Ω |
0.04209406492689 |
Real period |
R |
11.688724135243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700a1 44100cr1 44100br1 |
Quadratic twists by: -3 5 -7 |