Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4554w |
Isogeny class |
Conductor |
4554 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
86410947744 = 25 · 36 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11+ -7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8417,-294767] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:44:1] |
Generators of the group modulo torsion |
j |
90452336967369/118533536 |
j-invariant |
L |
5.6773067985337 |
L(r)(E,1)/r! |
Ω |
0.49848079365672 |
Real period |
R |
1.1389218743789 |
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 |
36432cn1 506d1 113850bi1 50094p1 |
Quadratic twists by: -4 -3 5 -11 |