Atkin-Lehner |
2+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
16214d |
Isogeny class |
Conductor |
16214 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57552 |
Modular degree for the optimal curve |
Δ |
13902459586136 = 23 · 1110 · 67 |
Discriminant |
Eigenvalues |
2+ -2 3 1 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22267,-1268082] |
[a1,a2,a3,a4,a6] |
Generators |
[-47672:28881:512] |
Generators of the group modulo torsion |
j |
47071057/536 |
j-invariant |
L |
3.2337448917891 |
L(r)(E,1)/r! |
Ω |
0.39109777551268 |
Real period |
R |
8.2683796591533 |
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 |
129712o1 16214g1 |
Quadratic twists by: -4 -11 |