Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61880n |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
43316000000 = 28 · 56 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-887,-1766] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:50:1] |
Generators of the group modulo torsion |
j |
301477292496/169203125 |
j-invariant |
L |
7.4216417872943 |
L(r)(E,1)/r! |
Ω |
0.94071732443425 |
Real period |
R |
0.657445263164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760h2 |
Quadratic twists by: -4 |