Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616ci |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.9503910719916E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72163011,-235940487230] |
[a1,a2,a3,a4,a6] |
Generators |
[-510632252836794364915:-155686745042532784080:104591632943906893] |
Generators of the group modulo torsion |
j |
576615941610337/27060804 |
j-invariant |
L |
4.8261805665678 |
L(r)(E,1)/r! |
Ω |
0.051799088326661 |
Real period |
R |
23.292787201813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5202b3 13872bi3 2448n3 |
Quadratic twists by: -4 -3 17 |