Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bu |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
122146399440 = 24 · 312 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4545,118260] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:472:1] |
Generators of the group modulo torsion |
j |
649084058484736/7634149965 |
j-invariant |
L |
4.6424859477372 |
L(r)(E,1)/r! |
Ω |
1.0503200767939 |
Real period |
R |
4.4200677967437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260m1 |
Quadratic twists by: -4 |