Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328s |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1676496367616 = 212 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18097,941025] |
[a1,a2,a3,a4,a6] |
Generators |
[440652:6192865:1728] |
Generators of the group modulo torsion |
j |
1360251712/3479 |
j-invariant |
L |
12.698268611074 |
L(r)(E,1)/r! |
Ω |
0.843556466041 |
Real period |
R |
7.5266263230806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328j2 15904b2 |
Quadratic twists by: -4 -7 |