Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240bf |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34264166400 = 212 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39123,-2978478] |
[a1,a2,a3,a4,a6] |
Generators |
[247:1558:1] |
Generators of the group modulo torsion |
j |
82142689923/425 |
j-invariant |
L |
3.5278808278604 |
L(r)(E,1)/r! |
Ω |
0.33946238024967 |
Real period |
R |
5.1962765730707 |
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 |
765a2 48960dz2 12240bj2 61200dg2 |
Quadratic twists by: -4 8 -3 5 |