Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218o |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-2747184 = -1 · 24 · 3 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[10:28:1] |
Generators of the group modulo torsion |
j |
226981/2064 |
j-invariant |
L |
8.5932953140856 |
L(r)(E,1)/r! |
Ω |
1.2627206736408 |
Real period |
R |
0.85067262830468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93654i1 31218d1 |
Quadratic twists by: -3 -11 |