Atkin-Lehner |
3- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8901c |
Isogeny class |
Conductor |
8901 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11648 |
Modular degree for the optimal curve |
Δ |
-26437961589849 = -1 · 319 · 232 · 43 |
Discriminant |
Eigenvalues |
1 3- -1 1 -1 -5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4680,-275211] |
[a1,a2,a3,a4,a6] |
j |
-15551989015681/36266065281 |
j-invariant |
L |
1.0782962672029 |
L(r)(E,1)/r! |
Ω |
0.26957406680073 |
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 |
2967d1 |
Quadratic twists by: -3 |