Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558l |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-448933910140540188 = -1 · 22 · 320 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-183859,44194925] |
[a1,a2,a3,a4,a6] |
j |
-687350955619188924337/448933910140540188 |
j-invariant |
L |
2.1935455290475 |
L(r)(E,1)/r! |
Ω |
0.27419319113094 |
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 |
100464cc3 37674d3 87906bq3 |
Quadratic twists by: -4 -3 -7 |