Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062bi |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
253952 |
Modular degree for the optimal curve |
Δ |
2027506983666192 = 24 · 37 · 78 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34466,-1162735] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:879:1] |
Generators of the group modulo torsion |
j |
6210935535799513/2781216712848 |
j-invariant |
L |
9.1904518383476 |
L(r)(E,1)/r! |
Ω |
0.36534023317683 |
Real period |
R |
1.5722419480056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18354i1 |
Quadratic twists by: -3 |