Atkin-Lehner |
2+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144l |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
246218752 = 216 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1132,14640] |
[a1,a2,a3,a4,a6] |
Generators |
[24:36:1] |
Generators of the group modulo torsion |
j |
2447840196/3757 |
j-invariant |
L |
3.5125207997377 |
L(r)(E,1)/r! |
Ω |
1.7536681051675 |
Real period |
R |
2.0029564256699 |
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 |
14144bc2 1768a2 127296be2 |
Quadratic twists by: -4 8 -3 |