Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111012a |
Isogeny class |
Conductor |
111012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
55275741573888 = 28 · 3 · 112 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10372,-189848] |
[a1,a2,a3,a4,a6] |
j |
810448/363 |
j-invariant |
L |
1.4798039347009 |
L(r)(E,1)/r! |
Ω |
0.49326794121645 |
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 |
132a2 |
Quadratic twists by: 29 |