Atkin-Lehner |
3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8463g |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12104180361 = 32 · 72 · 134 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-812,7095] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:99:1] |
Generators of the group modulo torsion |
j |
59214112880833/12104180361 |
j-invariant |
L |
3.6579171704002 |
L(r)(E,1)/r! |
Ω |
1.2010489114974 |
Real period |
R |
1.5228010846951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25389d2 59241i2 110019x2 |
Quadratic twists by: -3 -7 13 |