Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224s |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-9.9469327265514E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4919619,-4227284050] |
[a1,a2,a3,a4,a6] |
Generators |
[17908518698:71812647090:6967871] |
Generators of the group modulo torsion |
j |
-17639677367010526468/133248305771919 |
j-invariant |
L |
6.5978109227037 |
L(r)(E,1)/r! |
Ω |
0.050662986718193 |
Real period |
R |
10.85245092158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448o1 18408c1 |
Quadratic twists by: -4 -3 |