Atkin-Lehner |
5- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145n |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
61152 |
Modular degree for the optimal curve |
Δ |
538911953125 = 57 · 74 · 132 · 17 |
Discriminant |
Eigenvalues |
0 1 5- 7+ -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10845,-436901] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:171:8] [-59:32:1] |
Generators of the group modulo torsion |
j |
58757088280576/224453125 |
j-invariant |
L |
9.7417467016859 |
L(r)(E,1)/r! |
Ω |
0.46793831927577 |
Real period |
R |
0.49567718753873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145m1 |
Quadratic twists by: -7 |