Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450ct |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-61401733593750 = -1 · 2 · 310 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-329742,72963666] |
[a1,a2,a3,a4,a6] |
Generators |
[333:-117:1] |
Generators of the group modulo torsion |
j |
-10461203195/162 |
j-invariant |
L |
3.5473377156185 |
L(r)(E,1)/r! |
Ω |
0.57022513890637 |
Real period |
R |
1.5552355874817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150dd1 54450ez1 54450gm1 |
Quadratic twists by: -3 5 -11 |