Atkin-Lehner |
3+ 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701d |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
272231197623 = 34 · 78 · 11 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-152293,22811900] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:6699:1] [-946:50547:8] |
Generators of the group modulo torsion |
j |
3320285859906625/2313927 |
j-invariant |
L |
5.8737083655451 |
L(r)(E,1)/r! |
Ω |
0.81098035754766 |
Real period |
R |
3.6213629043819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12243g2 |
Quadratic twists by: -7 |