Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165o |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
982241754424125 = 3 · 53 · 1310 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 -2 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38081,2417900] |
[a1,a2,a3,a4,a6] |
Generators |
[-1089564:346712:4913] |
Generators of the group modulo torsion |
j |
44302336/7125 |
j-invariant |
L |
5.4226255579978 |
L(r)(E,1)/r! |
Ω |
0.47291882262035 |
Real period |
R |
11.466292519219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165u1 |
Quadratic twists by: 13 |