Atkin-Lehner |
3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22743l |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
311221635813818793 = 39 · 72 · 199 |
Discriminant |
Eigenvalues |
-1 3- 4 7+ 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-178763,11264514] |
[a1,a2,a3,a4,a6] |
j |
2685619/1323 |
j-invariant |
L |
2.1730139144807 |
L(r)(E,1)/r! |
Ω |
0.27162673931008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581a1 22743k1 |
Quadratic twists by: -3 -19 |