Atkin-Lehner |
3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111843a |
Isogeny class |
Conductor |
111843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-20429290136961 = -1 · 39 · 176 · 43 |
Discriminant |
Eigenvalues |
1 3+ 1 3 3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4389,-243478] |
[a1,a2,a3,a4,a6] |
Generators |
[2235546:15508108:19683] |
Generators of the group modulo torsion |
j |
-19683/43 |
j-invariant |
L |
9.7017083467962 |
L(r)(E,1)/r! |
Ω |
0.27463820711153 |
Real period |
R |
8.8313534538683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111843c1 387b1 |
Quadratic twists by: -3 17 |