Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710h |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
371641284000000 = 28 · 38 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20655,-662099] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:731:1] |
Generators of the group modulo torsion |
j |
1336852858103281/509796000000 |
j-invariant |
L |
3.1674839384462 |
L(r)(E,1)/r! |
Ω |
0.41123819964619 |
Real period |
R |
1.9255774032977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680du2 3570u2 53550dr2 74970bw2 |
Quadratic twists by: -4 -3 5 -7 |