Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016bp |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
96878592 = 214 · 34 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7889,-267087] |
[a1,a2,a3,a4,a6] |
Generators |
[341:6048:1] |
Generators of the group modulo torsion |
j |
3314550883408/5913 |
j-invariant |
L |
3.5320319931558 |
L(r)(E,1)/r! |
Ω |
0.50657006787212 |
Real period |
R |
3.4862225555414 |
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 |
14016bd1 3504l1 42048cf1 |
Quadratic twists by: -4 8 -3 |