Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976ba |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-45228699648 = -1 · 212 · 310 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 3 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59669,5590275] |
[a1,a2,a3,a4,a6] |
Generators |
[142:27:1] |
Generators of the group modulo torsion |
j |
-5736108018368512/11042163 |
j-invariant |
L |
5.0788178584026 |
L(r)(E,1)/r! |
Ω |
0.97564767577153 |
Real period |
R |
0.52055859758866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
561a1 35904bz1 26928bx1 98736dn1 |
Quadratic twists by: -4 8 -3 -11 |