Atkin-Lehner |
7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2093d |
Isogeny class |
Conductor |
2093 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32188247 = 72 · 134 · 23 |
Discriminant |
Eigenvalues |
-1 2 0 7- -4 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98,-296] |
[a1,a2,a3,a4,a6] |
j |
104154702625/32188247 |
j-invariant |
L |
1.553923246413 |
L(r)(E,1)/r! |
Ω |
1.553923246413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33488n2 18837j2 52325h2 14651l2 |
Quadratic twists by: -4 -3 5 -7 |