Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dl |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
-5.7844872792E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1673555,-1425559053] |
[a1,a2,a3,a4,a6] |
Generators |
[2075:62466:1] |
Generators of the group modulo torsion |
j |
-72814163751025/81252605952 |
j-invariant |
L |
9.4556206808024 |
L(r)(E,1)/r! |
Ω |
0.063594095865035 |
Real period |
R |
1.4296835010687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850d1 53550cl1 |
Quadratic twists by: -3 5 |