Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16544f |
Isogeny class |
Conductor |
16544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-566019739648 = -1 · 212 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 0 -2 3 11- 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,-36224] |
[a1,a2,a3,a4,a6] |
Generators |
[36:44:1] |
Generators of the group modulo torsion |
j |
-354894912/138188413 |
j-invariant |
L |
4.4651747302646 |
L(r)(E,1)/r! |
Ω |
0.41292609803451 |
Real period |
R |
1.8022493417581 |
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 |
16544c1 33088v1 |
Quadratic twists by: -4 8 |