Atkin-Lehner |
2+ 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810k |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2760529209246533340 = 22 · 39 · 5 · 74 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6945279,-7042837375] |
[a1,a2,a3,a4,a6] |
j |
1882355054179147659747/140249413668980 |
j-invariant |
L |
2.231980264429 |
L(r)(E,1)/r! |
Ω |
0.092999169275672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cf2 |
Quadratic twists by: -3 |