Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385i |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
-1.1888271175403E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3787518,-2841981786] |
[a1,a2,a3,a4,a6] |
j |
-8242525516078490484736/16307642215915875 |
j-invariant |
L |
0.43283201812717 |
L(r)(E,1)/r! |
Ω |
0.054104002265896 |
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 |
3795i1 56925s1 125235r1 |
Quadratic twists by: -3 5 -11 |