Atkin-Lehner |
2+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28016b |
Isogeny class |
Conductor |
28016 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
13343236352 = 28 · 173 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 0 2 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1775,-28242] |
[a1,a2,a3,a4,a6] |
j |
2415899250000/52122017 |
j-invariant |
L |
2.2094859410934 |
L(r)(E,1)/r! |
Ω |
0.73649531369784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14008d1 112064l1 |
Quadratic twists by: -4 8 |