Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272bk |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
31563840 |
Modular degree for the optimal curve |
Δ |
5.1919339623184E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -3 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1096892848,8679224625056] |
[a1,a2,a3,a4,a6] |
Generators |
[7955:675954:1] |
Generators of the group modulo torsion |
j |
252293449338593605250/89746765920659061 |
j-invariant |
L |
7.5567295760989 |
L(r)(E,1)/r! |
Ω |
0.032584328304917 |
Real period |
R |
3.0118572408918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544f1 55272n1 |
Quadratic twists by: -4 -7 |