Atkin-Lehner |
2- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cm |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
287539200 |
Modular degree for the optimal curve |
Δ |
-4.6875770090222E+31 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,155393138,-329405823811171] |
[a1,a2,a3,a4,a6] |
Generators |
[6153036324047:687168742162597:84604519] |
Generators of the group modulo torsion |
j |
234241108436789946525879/26460150167125207212359680 |
j-invariant |
L |
10.058440629621 |
L(r)(E,1)/r! |
Ω |
0.0092723736976556 |
Real period |
R |
11.29974120514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008052 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010k1 |
Quadratic twists by: -11 |