Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bh |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
51079886928 = 24 · 37 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268140,-53442961] |
[a1,a2,a3,a4,a6] |
Generators |
[2439980907737483:-63432166343080304:2444553286111] |
Generators of the group modulo torsion |
j |
182793612716032000/4379277 |
j-invariant |
L |
5.2894207436421 |
L(r)(E,1)/r! |
Ω |
0.20980177300858 |
Real period |
R |
25.211515936168 |
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 |
7812j3 124992eh3 10416o3 |
Quadratic twists by: -4 8 -3 |