Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110946q |
Isogeny class |
Conductor |
110946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
227304000 |
Modular degree for the optimal curve |
Δ |
-5.0643116011506E+30 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3378138405,77535615808102] |
[a1,a2,a3,a4,a6] |
Generators |
[14318370755449171599456830072001128567898105883569774:6426686940491562622913243962781115147051456876516549724:424238339411849531472721874640416773188025861257] |
Generators of the group modulo torsion |
j |
317627036122491047/377295697084416 |
j-invariant |
L |
5.3629608807371 |
L(r)(E,1)/r! |
Ω |
0.016210048264328 |
Real period |
R |
82.710439742166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110946e1 |
Quadratic twists by: 41 |