Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14016bv |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2821793513472 = 232 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8289,276255] |
[a1,a2,a3,a4,a6] |
Generators |
[42:63:1] |
Generators of the group modulo torsion |
j |
240293820313/10764288 |
j-invariant |
L |
5.4192528464343 |
L(r)(E,1)/r! |
Ω |
0.79685881125689 |
Real period |
R |
3.4003845912719 |
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 |
14016g1 3504n1 42048br1 |
Quadratic twists by: -4 8 -3 |