Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ch |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
4802980050 = 2 · 38 · 52 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,4131] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-51:1] |
Generators of the group modulo torsion |
j |
75625/18 |
j-invariant |
L |
3.4061487006304 |
L(r)(E,1)/r! |
Ω |
1.2878096665667 |
Real period |
R |
0.44081937325399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cw1 54450hc1 54450fw1 |
Quadratic twists by: -3 5 -11 |