Atkin-Lehner |
3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22743c |
Isogeny class |
Conductor |
22743 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-44460233687688399 = -1 · 39 · 7 · 199 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34724,-10437362] |
[a1,a2,a3,a4,a6] |
Generators |
[13365760143384:-27323351212013:49148555247] |
Generators of the group modulo torsion |
j |
-729/7 |
j-invariant |
L |
3.428543198016 |
L(r)(E,1)/r! |
Ω |
0.15252349821436 |
Real period |
R |
22.478786797805 |
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 |
22743b1 22743a1 |
Quadratic twists by: -3 -19 |