Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14016br |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
10764288 = 214 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,399] |
[a1,a2,a3,a4,a6] |
Generators |
[13:36:1] |
Generators of the group modulo torsion |
j |
9826000/657 |
j-invariant |
L |
6.1757706176028 |
L(r)(E,1)/r! |
Ω |
2.2358765740508 |
Real period |
R |
1.3810625079393 |
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 |
14016b1 3504b1 42048bk1 |
Quadratic twists by: -4 8 -3 |