Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550cf |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-116232785156250 = -1 · 2 · 36 · 59 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10242,-651834] |
[a1,a2,a3,a4,a6] |
Generators |
[41763:1617556:27] |
Generators of the group modulo torsion |
j |
-83453453/81634 |
j-invariant |
L |
4.7668220110857 |
L(r)(E,1)/r! |
Ω |
0.22822368389627 |
Real period |
R |
5.221655712623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950r1 53550eq1 |
Quadratic twists by: -3 5 |