Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cm |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9.2274469442792E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3326514417,-57595874348259] |
[a1,a2,a3,a4,a6] |
Generators |
[-1346491478891220954647394:-176591427828826039722060303:47641033978059894679] |
Generators of the group modulo torsion |
j |
201738262891771037089/45727545600000000 |
j-invariant |
L |
5.3536588036641 |
L(r)(E,1)/r! |
Ω |
0.020202472605319 |
Real period |
R |
33.125022046796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18150cz2 10890ce2 4950bm2 |
Quadratic twists by: -3 5 -11 |