Atkin-Lehner |
2+ 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336r |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
155904 |
Modular degree for the optimal curve |
Δ |
6334756844544 = 210 · 37 · 19 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94720,11188292] |
[a1,a2,a3,a4,a6] |
Generators |
[32:2862:1] |
Generators of the group modulo torsion |
j |
91781131747461124/6186285981 |
j-invariant |
L |
8.6718192643505 |
L(r)(E,1)/r! |
Ω |
0.71519474870764 |
Real period |
R |
0.14434661860939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168e1 |
Quadratic twists by: -4 |