Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963i |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1379612314837654227 = 38 · 1112 · 67 |
Discriminant |
Eigenvalues |
1 3- 0 0 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-479727,114848014] |
[a1,a2,a3,a4,a6] |
Generators |
[5158:65893:8] |
Generators of the group modulo torsion |
j |
9454162623625/1068251283 |
j-invariant |
L |
6.5661707657304 |
L(r)(E,1)/r! |
Ω |
0.26167692755033 |
Real period |
R |
6.2731655655546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24321e2 6633e2 |
Quadratic twists by: -3 -11 |