Atkin-Lehner |
2+ 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bn |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
750720 |
Modular degree for the optimal curve |
Δ |
-2245077762048000 = -1 · 223 · 37 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64899,6775893] |
[a1,a2,a3,a4,a6] |
j |
-41468083367504689/3079667712000 |
j-invariant |
L |
2.7192509521772 |
L(r)(E,1)/r! |
Ω |
0.45320849032301 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370bc1 |
Quadratic twists by: -3 |