Atkin-Lehner |
2- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
53300m |
Isogeny class |
Conductor |
53300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
36720 |
Modular degree for the optimal curve |
Δ |
53300000000 = 28 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 1 1 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,15537] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:150:1] |
Generators of the group modulo torsion |
j |
2621440/533 |
j-invariant |
L |
9.3280248330335 |
L(r)(E,1)/r! |
Ω |
1.0617348592721 |
Real period |
R |
0.97618270193855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53300a1 |
Quadratic twists by: 5 |