Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256bk |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1486848 |
Modular degree for the optimal curve |
Δ |
-3706978082152790016 = -1 · 211 · 310 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331419,-118211434] |
[a1,a2,a3,a4,a6] |
Generators |
[27826370:766943496:24389] |
Generators of the group modulo torsion |
j |
-1143574/1053 |
j-invariant |
L |
3.5884229089616 |
L(r)(E,1)/r! |
Ω |
0.095847067636933 |
Real period |
R |
9.3597619324275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999134709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37752b1 113256k1 |
Quadratic twists by: -3 -11 |