Atkin-Lehner |
2+ 3- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110bh |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-596230285535156250 = -1 · 2 · 39 · 59 · 11 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-424629,112902903] |
[a1,a2,a3,a4,a6] |
j |
-11615173782264114769/817874191406250 |
j-invariant |
L |
1.7095921064808 |
L(r)(E,1)/r! |
Ω |
0.28493201171542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29370bd2 |
Quadratic twists by: -3 |