Atkin-Lehner |
2+ 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690d |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-26023360267468800 = -1 · 214 · 311 · 52 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128475,-19317339] |
[a1,a2,a3,a4,a6] |
Generators |
[438:2661:1] [822:20325:1] |
Generators of the group modulo torsion |
j |
-321702150707175601/35697339187200 |
j-invariant |
L |
8.6825743488228 |
L(r)(E,1)/r! |
Ω |
0.1253017965946 |
Real period |
R |
4.3308309336952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230bh1 |
Quadratic twists by: -3 |