Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696dw |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8344644833378304 = 217 · 33 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686796,-219029360] |
[a1,a2,a3,a4,a6] |
j |
4293378 |
j-invariant |
L |
1.3267486949795 |
L(r)(E,1)/r! |
Ω |
0.16584358818598 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696d2 17424a2 69696du2 69696dx2 |
Quadratic twists by: -4 8 -3 -11 |