Atkin-Lehner |
2+ 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990j |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.1219491097709E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1083420,403298896] |
[a1,a2,a3,a4,a6] |
Generators |
[-1183:5915:1] [-487:28796:1] |
Generators of the group modulo torsion |
j |
192924309519122051521/15390248419353600 |
j-invariant |
L |
6.0766606828761 |
L(r)(E,1)/r! |
Ω |
0.22188298560692 |
Real period |
R |
3.4233475959488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18330v2 |
Quadratic twists by: -3 |