Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642s |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-133178060833276032 = -1 · 27 · 314 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62550,-18566936] |
[a1,a2,a3,a4,a6] |
j |
-230042158153417/1131994839168 |
j-invariant |
L |
1.9092896776897 |
L(r)(E,1)/r! |
Ω |
0.13637783412069 |
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 |
101136bd2 37926by2 258b2 |
Quadratic twists by: -4 -3 -7 |