Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540o |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-238615368750000 = -1 · 24 · 38 · 58 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11832,554033] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:621:1] |
Generators of the group modulo torsion |
j |
15705460834304/20457421875 |
j-invariant |
L |
5.5190137544446 |
L(r)(E,1)/r! |
Ω |
0.37435481846758 |
Real period |
R |
1.2285612210181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180h1 |
Quadratic twists by: -3 |