Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bx |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
59541075000000000 = 29 · 39 · 511 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1153917,477244741] |
[a1,a2,a3,a4,a6] |
Generators |
[609:8:1] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
4.446299940128 |
L(r)(E,1)/r! |
Ω |
0.34460253638263 |
Real period |
R |
1.6128363370296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150bz1 10890ca1 54450fi1 |
Quadratic twists by: -3 5 -11 |