Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cd |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
7.500845963952E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1116792,181175616] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:13083:1] |
Generators of the group modulo torsion |
j |
63088729/30720 |
j-invariant |
L |
5.4292574352029 |
L(r)(E,1)/r! |
Ω |
0.17225958235525 |
Real period |
R |
0.65662257131462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cu1 10890cd1 54450ga1 |
Quadratic twists by: -3 5 -11 |