Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44528k |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
860116539677474816 = 217 · 1111 · 23 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11- 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1810523,936616714] |
[a1,a2,a3,a4,a6] |
Generators |
[30063:-468512:27] |
Generators of the group modulo torsion |
j |
90452336967369/118533536 |
j-invariant |
L |
5.4597645667347 |
L(r)(E,1)/r! |
Ω |
0.28057888602826 |
Real period |
R |
1.2161830501624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5566g1 4048c1 |
Quadratic twists by: -4 -11 |