Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cj |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
832196494976090112 = 221 · 313 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-913712556,-10630715677904] |
[a1,a2,a3,a4,a6] |
j |
441453577446719855661097/4354701912 |
j-invariant |
L |
0.87871338287753 |
L(r)(E,1)/r! |
Ω |
0.027459786511262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dw4 3366m3 35904x4 |
Quadratic twists by: -4 8 -3 |