Atkin-Lehner |
3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8463d |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4072142902072791 = 3 · 76 · 13 · 316 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-213089,37647450] |
[a1,a2,a3,a4,a6] |
Generators |
[2006:957:8] |
Generators of the group modulo torsion |
j |
1070064584336375154073/4072142902072791 |
j-invariant |
L |
4.9884664130905 |
L(r)(E,1)/r! |
Ω |
0.44132818056062 |
Real period |
R |
3.7677678674055 |
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 |
25389n2 59241s2 110019f2 |
Quadratic twists by: -3 -7 13 |