Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bs |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
3.5599718149225E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9202617,-5746865459] |
[a1,a2,a3,a4,a6] |
Generators |
[-8841189959823641:20218490811792412:13493170738943] |
Generators of the group modulo torsion |
j |
56479225/23328 |
j-invariant |
L |
4.8541148503897 |
L(r)(E,1)/r! |
Ω |
0.089894443678021 |
Real period |
R |
26.998970413432 |
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 |
18150by1 54450gx1 54450fl1 |
Quadratic twists by: -3 5 -11 |