Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472cs |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31956604551168 = 220 · 3 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46337,3814143] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2304:1] |
Generators of the group modulo torsion |
j |
41973665875777/121904772 |
j-invariant |
L |
7.7707208750677 |
L(r)(E,1)/r! |
Ω |
0.66027639841703 |
Real period |
R |
2.9422227169166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472b4 16368p4 |
Quadratic twists by: -4 8 |