Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cm |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0534954471243E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49900866417,-4290226409756259] |
[a1,a2,a3,a4,a6] |
Generators |
[-447123697467371647058128716660616769911105:1169281308441283515323445066913937368612413:3486817353283622870381121736848442625] |
Generators of the group modulo torsion |
j |
680995599504466943307169/52207031250000000 |
j-invariant |
L |
5.3536588036641 |
L(r)(E,1)/r! |
Ω |
0.010101236302659 |
Real period |
R |
66.250044093593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18150cz3 10890ce3 4950bm3 |
Quadratic twists by: -3 5 -11 |