Atkin-Lehner |
23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22747a |
Isogeny class |
Conductor |
22747 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-978121 = -1 · 232 · 432 |
Discriminant |
Eigenvalues |
1 0 1 -2 0 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16,37] |
[a1,a2,a3,a4,a6] |
Generators |
[12:37:1] [6:53:8] |
Generators of the group modulo torsion |
j |
826551/1849 |
j-invariant |
L |
8.9118200934958 |
L(r)(E,1)/r! |
Ω |
1.9332128721377 |
Real period |
R |
2.3049246727915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22747c1 |
Quadratic twists by: -23 |