Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550ce |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2.6633158266323E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,643068,149015376] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:6279:1] |
Generators of the group modulo torsion |
j |
322742744589591019/292270598258688 |
j-invariant |
L |
3.9982141337457 |
L(r)(E,1)/r! |
Ω |
0.13790706439098 |
Real period |
R |
1.812005675425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850cg1 53550ep1 |
Quadratic twists by: -3 5 |