Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696dw |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
4172322416689152 = 216 · 33 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47916,-2576816] |
[a1,a2,a3,a4,a6] |
j |
2916 |
j-invariant |
L |
1.3267486949795 |
L(r)(E,1)/r! |
Ω |
0.33168717637196 |
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 |
69696d1 17424a1 69696du1 69696dx1 |
Quadratic twists by: -4 8 -3 -11 |