Atkin-Lehner |
2- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72226l |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
57257347554176 = 27 · 77 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-234907,43722601] |
[a1,a2,a3,a4,a6] |
j |
12184941912052897/486679424 |
j-invariant |
L |
8.2316727367384 |
L(r)(E,1)/r! |
Ω |
0.58797662516798 |
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 |
10318h2 |
Quadratic twists by: -7 |