Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554ba |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-70823808 = -1 · 27 · 37 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 3 11+ 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[9:31:1] |
Generators of the group modulo torsion |
j |
127263527/97152 |
j-invariant |
L |
5.2203977911521 |
L(r)(E,1)/r! |
Ω |
1.0869223990779 |
Real period |
R |
0.17153274089632 |
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 |
36432ct1 1518j1 113850bn1 50094t1 |
Quadratic twists by: -4 -3 5 -11 |