Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288be |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10450944 |
Modular degree for the optimal curve |
Δ |
-1.9794444350141E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161865435,-821040930934] |
[a1,a2,a3,a4,a6] |
Generators |
[26950160312220810146324339966395004097680803885:-4498196360814382953198812580914149493583856533504:806068364975726534308068973431231869930449] |
Generators of the group modulo torsion |
j |
-157071934309059089673625/6629119362374565888 |
j-invariant |
L |
5.5921125513236 |
L(r)(E,1)/r! |
Ω |
0.021111035495441 |
Real period |
R |
66.222622670881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6786k1 18096r1 |
Quadratic twists by: -4 -3 |