Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528j |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
3.8505924717118E+21 |
Discriminant |
Eigenvalues |
2- -2 3 -3 11+ 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3923344,-183915756] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:23552:1] |
Generators of the group modulo torsion |
j |
691510653107/398688256 |
j-invariant |
L |
4.3370999498111 |
L(r)(E,1)/r! |
Ω |
0.1169109992533 |
Real period |
R |
1.5457270835344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5566d1 44528i1 |
Quadratic twists by: -4 -11 |