Atkin-Lehner |
3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
106641g |
Isogeny class |
Conductor |
106641 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10914816 |
Modular degree for the optimal curve |
Δ |
-6.278927657265E+20 |
Discriminant |
Eigenvalues |
-1 3- 1 -1 2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-561991622,-5127798936792] |
[a1,a2,a3,a4,a6] |
Generators |
[98060099874110052010430:60839260998071946974804787:253359762034933000] |
Generators of the group modulo torsion |
j |
-227062499652459017/7263027 |
j-invariant |
L |
4.4026915055829 |
L(r)(E,1)/r! |
Ω |
0.015503762180813 |
Real period |
R |
35.496960787939 |
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 |
35547a1 106641d1 |
Quadratic twists by: -3 17 |