Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ba |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
72916081405571250 = 2 · 314 · 54 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125910,11297866] |
[a1,a2,a3,a4,a6] |
Generators |
[503:-8914:1] |
Generators of the group modulo torsion |
j |
302815984235153761/100022059541250 |
j-invariant |
L |
4.5908120899585 |
L(r)(E,1)/r! |
Ω |
0.31844743509887 |
Real period |
R |
0.90101449131757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cb3 |
Quadratic twists by: -3 |