Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382b |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.0977711699302E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86575356,309961560064] |
[a1,a2,a3,a4,a6] |
Generators |
[40270:308959:8] |
Generators of the group modulo torsion |
j |
98441686359563523681894337/42493431686285386512 |
j-invariant |
L |
4.2586761074857 |
L(r)(E,1)/r! |
Ω |
0.11544555126801 |
Real period |
R |
4.611130594369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056p6 4794e5 |
Quadratic twists by: -4 -3 |