Atkin-Lehner |
3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22743a |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-945039879 = -1 · 39 · 7 · 193 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96,1547] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:1253:27] |
Generators of the group modulo torsion |
j |
-729/7 |
j-invariant |
L |
6.9698444760518 |
L(r)(E,1)/r! |
Ω |
1.3393827119957 |
Real period |
R |
5.2037736590364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22743d1 22743c1 |
Quadratic twists by: -3 -19 |