Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dm |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-4.3970102316151E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33883500,-126259371875] |
[a1,a2,a3,a4,a6] |
Generators |
[16071201522960522862:2402196505823328844077:670335397555832] |
Generators of the group modulo torsion |
j |
-1605176213504/1640558367 |
j-invariant |
L |
6.8491276913822 |
L(r)(E,1)/r! |
Ω |
0.030055926322722 |
Real period |
R |
28.484930134248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bw1 44100dn1 6300be1 |
Quadratic twists by: -3 5 -7 |