Atkin-Lehner |
3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55473m |
Isogeny class |
Conductor |
55473 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-5.4482574139909E+19 |
Discriminant |
Eigenvalues |
1 3- 3 1 11+ 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19367,355129553] |
[a1,a2,a3,a4,a6] |
j |
-169112377/11469763899 |
j-invariant |
L |
5.078399802964 |
L(r)(E,1)/r! |
Ω |
0.15869999386048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1353a1 |
Quadratic twists by: 41 |