Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bj |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47001600 = 212 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4347,110314] |
[a1,a2,a3,a4,a6] |
Generators |
[23:150:1] |
Generators of the group modulo torsion |
j |
82142689923/425 |
j-invariant |
L |
4.466216854242 |
L(r)(E,1)/r! |
Ω |
1.7854281379763 |
Real period |
R |
1.2507411413669 |
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 |
765b2 48960dn2 12240bf2 61200ds2 |
Quadratic twists by: -4 8 -3 5 |