Atkin-Lehner |
11+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8437b |
Isogeny class |
Conductor |
8437 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
3553672837 = 113 · 13 · 593 |
Discriminant |
Eigenvalues |
0 1 0 -1 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-793,-8373] |
[a1,a2,a3,a4,a6] |
j |
55219290112000/3553672837 |
j-invariant |
L |
0.90320309117797 |
L(r)(E,1)/r! |
Ω |
0.90320309117797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75933i2 92807c2 109681d2 |
Quadratic twists by: -3 -11 13 |