Atkin-Lehner |
11- 97+ |
Signs for the Atkin-Lehner involutions |
Class |
103499a |
Isogeny class |
Conductor |
103499 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
183456 |
Modular degree for the optimal curve |
Δ |
-9162692054219 = -1 · 11 · 976 |
Discriminant |
Eigenvalues |
-2 -1 -1 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3136,161608] |
[a1,a2,a3,a4,a6] |
j |
-4096/11 |
j-invariant |
L |
0.64434341282326 |
L(r)(E,1)/r! |
Ω |
0.64434339992608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11a3 |
Quadratic twists by: 97 |