Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384t |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.1070359697728E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2922660471,60815693113450] |
[a1,a2,a3,a4,a6] |
Generators |
[429309789:15487772872:12167] |
Generators of the group modulo torsion |
j |
14794194217980649552803358288/59319057022291521 |
j-invariant |
L |
4.5945201187856 |
L(r)(E,1)/r! |
Ω |
0.085758546153871 |
Real period |
R |
13.393767560036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671331 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37128bd2 |
Quadratic twists by: -3 |