Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
44616o |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
14966596563087312 = 24 · 36 · 112 · 139 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68839,-3676232] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:1782:1] |
Generators of the group modulo torsion |
j |
212629504/88209 |
j-invariant |
L |
3.4039305217849 |
L(r)(E,1)/r! |
Ω |
0.30574877859763 |
Real period |
R |
2.7832740145439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232v1 44616e1 |
Quadratic twists by: -4 13 |