Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944bo |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1951955683577856 = -1 · 212 · 38 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19509,1848890] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:990:1] [-38:1026:1] |
Generators of the group modulo torsion |
j |
275005425527/653706009 |
j-invariant |
L |
8.1433184178158 |
L(r)(E,1)/r! |
Ω |
0.32553805489011 |
Real period |
R |
2.0845792310903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4059a2 21648p2 |
Quadratic twists by: -4 -3 |