Atkin-Lehner |
2- 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
54168j |
Isogeny class |
Conductor |
54168 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
2763561224448 = 28 · 314 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3668,-31488] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:216:1] |
Generators of the group modulo torsion |
j |
21325053202000/10795161033 |
j-invariant |
L |
8.9341831688309 |
L(r)(E,1)/r! |
Ω |
0.64712938459103 |
Real period |
R |
0.98613346237838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108336d1 |
Quadratic twists by: -4 |