Atkin-Lehner |
3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
23763c |
Isogeny class |
Conductor |
23763 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1884960 |
Modular degree for the optimal curve |
Δ |
-5.7120417981162E+21 |
Discriminant |
Eigenvalues |
0 3- 4 2 2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3495801,4420524323] |
[a1,a2,a3,a4,a6] |
j |
-9506571157504/11493474507 |
j-invariant |
L |
4.1553134886011 |
L(r)(E,1)/r! |
Ω |
0.12221510260591 |
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 |
71289b1 267b1 |
Quadratic twists by: -3 89 |