Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550b |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-116069625000 = -1 · 23 · 33 · 56 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,408,-16184] |
[a1,a2,a3,a4,a6] |
Generators |
[23:59:1] |
Generators of the group modulo torsion |
j |
17779581/275128 |
j-invariant |
L |
3.28583482323 |
L(r)(E,1)/r! |
Ω |
0.51342991231557 |
Real period |
R |
3.1998864347059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550cq2 2142n1 |
Quadratic twists by: -3 5 |