Atkin-Lehner |
2- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39208d |
Isogeny class |
Conductor |
39208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
378499054544 = 24 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2366,-32955] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:105:1] [78:507:1] |
Generators of the group modulo torsion |
j |
18966528/4901 |
j-invariant |
L |
7.1694445936833 |
L(r)(E,1)/r! |
Ω |
0.69762044540512 |
Real period |
R |
5.1384994812762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78416a1 3016a1 |
Quadratic twists by: -4 13 |