Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cm |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
89446114890000 = 24 · 33 · 54 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16761,698985] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:435:1] |
Generators of the group modulo torsion |
j |
293946977449/50490000 |
j-invariant |
L |
11.961824316092 |
L(r)(E,1)/r! |
Ω |
0.57595445707414 |
Real period |
R |
1.7307248529082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610m1 |
Quadratic twists by: -11 |